Unit 3 parent functions transformations pdf

 





=−log3 : + u ; Graphing a Logarithmic Function We do not have a button for specific logarithms with all possible bases on our calculators, so However, using parent functions and transformation techniques can be an effective way to sketch complicated graphs. 3 Parent Functions Copy the parent functions, and then analyze them. () 4 23 1 3 x fx §· ¨¸ ©¹ 5. Unit 3 Parent Functions And Transformations Homework 4 a turbulent kind of problem because they are not able to complete their term paper, thesis, and assignments by themselves. 6 332 11. Express quadratic functions in vertex form to identify their maxima or minima and in factored 3) f (x) x g(x) x expand vertically by a factor of reflect across the x-axis translate down unit 4) f(x) x g(x) (x ) expand vertically by a factor of translate left unit Transform the given function f(x) as described and write the resulting function as an equation. 4. 1 4 fx Evaluating Functions 3 Wednesday, August 26 Finish domains Intro to parent functions and transformations 4 Thursday, August 27 Transformations 5 Friday, August 28 Intro to Piecewise functions QUIZ (Days 1-3) 6 Monday, August 31 Applications of piecewise functions 7 Tuesday, September 1 Step Functions and Applications of piecewise Transformations of Quadratic Functions Notes The parent function of a function is the simplest form of a function. Hall November 11, 2019 Get out your parent function sheet, your composition notebook, and a graphing calculator. Multiple Choice _____1. Identify the parent function, f(x) b. pdf Author: 83652 Created Date: 8/16/2018 11:30:50 AM Sample Problem 2: Given the parent function and a description of the transformation, write the equation of the transformed function!". There are three types of transformations: translations, reflections, and dilations. 4 3 5 5 x function to the y-values of the parent function. Block: _____ Date:_____ Today we will… • graph absolute value equations with two variables • describe the shift from a parent function based on given equation • determine the equation of an absolute value function given a A2. Parent Function: 2* Transformations: and 5 2. 3 368 15. Thereisonlyonekindof operation inside of the parentheses, and that operation is addition — you are adding 3. Compare the graph of to the graph of its parent function. In this lesson, you will study eight of the most commonly used parent functions. are . W. 3 . 4—Parent Functions & Transformations Show all work on a separate sheet of paper. 7 Identify and interpret the key features of a function from its graph or its formula. Square Root Function g. 1) 1) 2) Transformations of Quadratic Functions: Transforming Investigation(handout) The parent quadratic function is_____ Vertex form for a quadratic function is:_____ Graph the parent quadratic function. Square Root —vertical shift down 2, horizontal shift left 7. If . are transformations of their parent function. Express quadratic functions in vertex form to identify their maxima or minima and in factored 3 parent functions notes. 1 Transformations of funcitons. Identify the parent function to Secondary Math 3 Name_____ Date_____ Period____ ©M u2 W0s1 3o hK KuHtiaT oSbowf Xtlw8aWrEek 4LoL kCl. They transform it by rotating the triangle shown above 90 clockwise about the origin. Graph the parent graph for linear functions. Give a function f, which of the following represents a horizontal stretch by a factor of 3? (A) yf x 3 (B) 1 3 yf x Absolute value functions and transformations. Sketch the curve. I have seen a lot of students of graduation, and post-graduation suffering miserably because of these issues. 1 324 10. Unit 3 Day 5 Parent Functions & Transformations ­A1. Below is an equation of a function that contains the Identify the parent function and predict what will happen to the graph of the function. At home: Complete 1-10 from the packet. Translation of 3 units to the right. Find the domain and the range of the new function. h(x) = −2 ⋅ f(x) Multiply the output by −2. of the graph of . Vertical Translation Examples: Graph the following functions and state their domain and range: 1. Vertex form – when the quadratic equation is written in the vertex form, we are able to determine the transformation of the parent graph. Answer Key Part 2. Possible answer: It has the same shape and it also starts at the origin; It is in a different quadrant of the coordinate plane. MMA UNIT 3-1 Parent Function Review Name -1 E) radical Match the name & equation to the graph. 10. notebook September 05, 2017 Warm up State the domain and range of each function Learning Intentions: Given a parent function equation students will be able to identify the name of the function and domain and range of the graph. a, h, and . 13. Unit 3 will include the following subtopics: Exponential Functions including Growth and Decay (compound interest) Direct and Inverse Variation. What transformations do our graphs show? 3. 7 263 9. Predict the transformation for g(x) Ix — and h(x) I—2xl. Distance Traveled gallons miles 8. Linear Functions 2. y=x3 a. g(x) = Parent Function: Transformations: and 3. A parent function is the simplest of the functions in a family. real. transformation. : T ;=2 : T+3 ; 6+1 2. Cube Root Function d. The class throughout the unit (eg: the last 20 min of every class, preceded by a formal lesson and worksheet/book exercise of the relevant topics). Reflection about the x axis Directions: Classify each function as an exponential growth or an exponential decay. Title: Unit 3 - Parent Functions & Transformations. = u∙log2 : + s ; 2. A2. 12) describe the effect of h on the graph. Unit 3 Module 5. 23. I expect that today my students will be able to predict the transformations of the functions given from the Parent Function 3^x by the structure of the equation (MP7). It is at this point, after developing the vertex form and the cubic graphing form students should begin to generalize the rules for function transformations. 9) f (x) = x2 shrink vertically by a factor of 1 2 reflect across the x-axis translate right 3 units 10) f (x) = 1 x stretch horizontally by a factor of 3 translate left 3 units translate up 1 unit 11) f (x AFDA SC– Unit 3: Absolute Value+Piecewise Functions Name: _____ Day 3 . pdf Name: Unit 3: Parent Functions & Transformations Date: Bell: Homework 3: Transformations; Graphing Absolute Value Functions from Vertex Form ** This is a 2-page document! ** Give each parent function. The vertex is now at (0, -4) instead of (0, 0). Graph the parent function and the transformation on the same graph 1. 3 2. Quadratic Function f. a. I Use translations to sketch the graph of a function. 24. The transformed function is g(x) = −2x2 − 3. Objective 3: Students will begin to generalize the rules for function transformations. C. pdf - JANEE JACKSON Name Unit 3 Parent Functions Transformations Date Bell Homework 7 Function Families Review Linear Unit 3 Parent Functions And Transformations Homework 1 Answers. 0: Quad Test Make Up. Please watch through first before sharing with your students. 5 . Give simplified, exact values for all answers. Graph each equation. I. 1) 1) 2) Lesson 5-3: Transforming Parabolas Mrs. I Use non-rigid transformations to sketch the graph of a function. Finch DHS Math Dept Transformations 2/37 Worksheet 2. g(x) = 2 log(x — 2) — 1 Parent Function: 964) 103 Transformations: down 1)3-4 Compression by a factor of- Shift Right 3 units Shift up 1 unit Ill. Like logarithmic and exponential functions, rational functions may have asymptotes. Reciprocal Function b. 1. Core Concept – Parent Functions Family Rule Graph Domain Range Example 1: Identifying a Function Family Identify the function family to which belongs. 26) Given the √parent function ( ) write the function rule if the following transformations are done on the parent function: vertical shrink by a factor of , reflection over the y axis, horizontal stretch by a factor of 2, and, and vertical translation of 3 units down. I 4 GAsl nl k ArRi pg rh4t Is m tr beKs4eZr2v 4eVdV. Unit 3 Review Name _____ Give the parent function and describe the transformation as well as the changes to the x and y coordinates of the parent function. Match each quadratic function with its graph form of the function. 8 296 10. "Parent Function" A basic function used as a 'building block' for more complicated functions (Other parent functions include trig ftnctions, logarithms, exponents, greatest integer, and reciprocals) (parabola) (square root) The parent function f(x) = 1x is compressed horizontally by a factor of 7. Unit 2 Lesson 3: TRANSFORMATIONS NOTES TRANSFORMATIONS: TRANSFORMATION RULE 1) Translation with components h, K h = horizontal k= vertical 2) Reflection Over y-axis 3) Reflection Over x-axis Distance Traveled gallons miles 8. ≠0, then the graph of . 25. g(x) = 2 - (x + 5)2 2. You should already be familiar with the graphs of the following linear and polynomial parent functions. 1 Success Criteria I will be able to graph the transformation of a parent function. k. For each graph, identify the parent function, describe the transformations, write an equation for the graph, identify the vertex, describe the domain and range using interval notation, and identify the equation for the axis of symmetry. Videos are created by fellow teachers for their students using the guided notes from the unit. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0. The graph of g(x) = (x + 12) is a translation of the graph of the parent function 12 units . WS Really, really Hard Transformations. The parent function f(x) = 1x is translated 1 2 unit left and stretched vertically by a factor of 3. 2 Apply given transformations to basic functions and represent symbolically. Snow, Instructor The most basic form of the quadratic equation is the parent function: . Translation 1 unit left 3. Since f(x) = 0x, where and . ) KEY to Chart of Parent Functions with their Graphs, Tables, and Equations Name of Parent Function Graph of Function Table of Values Harold’s Parent Functions “Cheat Sheet” 6 November 2019 Function Name Parent Function Graph Characteristics Algebra Constant ( T)= Domain: (− ∞, ) Range: [c, c] Inverse Function: Undefined (asymptote) Restrictions: c is a real number Odd/Even: Even General Form: + =0 Linear or = Identity ( T) T Domain: (−∞, ∞) a. write good quality papers in exchange for high marks in class. Dilation by 2 from the x axis. IIR I Ink- transformations: frUlslahoq L Parent Function: f (x) = - transformations: Aranslatvq rìqnk transformation it may be graphed using the following procedure: Steps for Multiple Transformations Use the following order to graph a function involving more than one transformation: 1. A rational function is a function thatcan be written as a ratio of two polynomials. Example 3 Multiple Translations of Linear Functions Describe the translation in g(x) = (x - 6) + 3 as it relates to the graph of the parent function. For the graph of y = 0x 0 + 1, you can translate the graph of y = 0x 0 up 1 unit. 2. Learning Standards HSF-IF. Translation of 4 units up. First write a function h that represents the refl ection and vertical stretch of f. Graphing Standard Function & Transformations • If 0 < c < 1, then the graph is compressed in the y-direction by a factor of 1/c. Identity = −2x2 − 3 Simplify. 16. ( Note: Please see Unit 2 for the above topics) Parent Functions and Their Translations. When a function has a transformation applied it can be either vertical (affects the y-values) or horizontal (affects the x-values). () 1 6 7 fx x 2. Name the Parent 3 x2 - 3 8) f (x) = x g (x) = - 1 2-x + 1 Transform the given function f (x) as described and write the resulting function as an equation. Master graphing the “root function”, the “reciprocal function” (and the asymptotes), the “absolute value function”, the “quadratic function” and lines. g(x) = 3(x - 2)3 3. g(x) = - ½ √(x+3) - 1 40 3) f (x) x g(x) x expand vertically by a factor of reflect across the x-axis translate down unit 4) f(x) x g(x) (x ) expand vertically by a factor of translate left unit Transform the given function f(x) as described and write the resulting function as an equation. Re!ection about x axis. No Calculator is Permitted unless specifically stated. Notes - Filled in with work/answers. • Let’s look at the function 2f(x +3). Describe the sequence of transformations from f to g. c. Absolute Value Function e. 4 3 5 5 x Unit 3: Functions & Inverses - MATH WITH MISS RICE. Then sketch the graph and describe the transformation on the parent graph of f(x) = - transformations: x-axis transformations. Function Transformation f x x( ) 42 f x x( ) 62 Math 3 Polynomial Parent Functions Unit 3 Day 3 Notes Date:_____ Summarize the different types of transformations Functions: Parent Functions, Characteristics of Functions and Transformations Comparisons of graphs to their parent functions… Parent Functions There are several FAMILIES (types) of functions that are commonly studied in mathematics. WS Reflections Day 2. College essays come with stricter rules and guidelines as well as more specific formats like APA, etc. The vertex is (0, −3). For the given functions, describe the translations in the given parent function (determine the effect the translation has on the graph). Linear—vertical shift up 5. VCE Maths Methods - Unit 3 - Transformation of functions Applying transformations: step by step 9 • The order in which transformations are applied will determine the "nal equation. Reflecting 4. Gra h the parent function b. ; : T= − 5 7 : T−7 ; 7−2 3. (x AoriZon+aL compression by ever Reason abstractly and Unit 3A Test Review Name (Parent Functions, Transformations, Systems of Inequalities, Linear Programming) I. g(x) = -2|x - 1| - 4 4. 6 Graphing Transformations You have learned how to move a parabola around a set of axes, write equations, sketch graphs, and model situations. Unformatted text preview: Name _____ Per_____ Algebra II (PAP) - Transformations of Functions This assignment is due by the end of this period and will be graded. 3. notebook 1 November 11, 2019 Oct 4­6:15 PM Algebra 1 Mrs. y=(x−3)2 4. You can work with a partner. Harold’s Parent Functions “Cheat Sheet” 6 November 2019 Function Name Parent Function Graph Characteristics Algebra Constant ( T)= Domain: (− ∞, ) Range: [c, c] Inverse Function: Undefined (asymptote) Restrictions: c is a real number Odd/Even: Even General Form: + =0 Linear or = Identity ( T) T Domain: (−∞, ∞) Unit 4 Day 3 Exploration Name: Period Algebra Il DEAL Graph each of the following using your graphing calculator. Complete the table and graph the parent 2-2 function below. My Heating Bills Temp Amount ($) 36 83 38 91 38 99 42 107 42 115 44 123 49 131 x y -3 10 -1 -8 1 6 3 52 Name the Parent Function. Unit 3 Mod 5. Notes: Graphing Absolute Value Functions . E 1_Graphing:Parent Functions and Transformations Sketch the graph using transformations. 18. 7c HSF-BF. (hzo x Y a(x-h)2 +k OeQz ) UI l) describe the effect of a on the graph. family of functions. Rational Functions 3. "Parent Function" A basic function used as a 'building block' for more complicated functions (Other parent functions include trig ftnctions, logarithms, exponents, greatest integer, and reciprocals) (parabola) (square root) 3. Notes Unit 3 part 2. ; : T= − 2 T 6 4. 11. Graph the fun tion g(x) Ix — 31 and h(x) I—2xl x d. Identify the parent function to A rational function is a function thatcan be written as a ratio of two polynomials. In class: Transformations and Characteristics of Parent Functions Class Notes. This Unformatted text preview: Name _____ Per_____ Algebra II (PAP) - Transformations of Functions This assignment is due by the end of this period and will be graded. Identify the Parent Function b. 12. List the transformations. () 1 9 3 fx e x 7. 1 305 10. 10 As you can see, the graph of a quadratic function looks very different from the graph of a A transformation is an alteration to a parent function’s graph. Unit 3 Parent Functions And Transformations Homework 2 Answers If you are misled and stalled while writing your essay, our professional college essay Unit 3 Parent Functions And Transformations Homework 2 Answers writers can help you out to complete an excellent quality paper. = −2x2 − 3 Simplify. WS Transformations - Day 4. Parent Functions Matching: Match each function in 1-9 with the proper name h 4. 1 Success Criteria Unit 3 Mod 5. Place the following equations underneath the correct parent function: y 23x yx 21 yx 2 3 yx 23 yx 3 2 yx 23 yx 232 y 32x yx 2 3 1 3 2 x y yx 312 yx 32 PART IV: Identifying the family by scenario: Determine whether or not the following situations would be best represented a linear, exponential, or quadratic function. 1: Transformations and Graph of Parent Functions (9/9) In class: Unit 3 Parent Functions And Transformations Homework 4 Answers are writing will still come Unit 3 Parent Functions And Transformations Homework 4 Answers out as a good quality paper. Names: A) absolute value B) cubic C) linear D) quadratic Equations: F) y = x . Since c = 3 > 1, the graph is obtained from that of f(x) = x1/2 by stretching it in the y-direction by a factor of c = 3. Identity Parent: Transformations: For problems 10 — 14, given the parent function and a description of the transformation, write the equation of the transformed function, f(x). Parent Function ­ is the simplest function Name: MATH 3 Final Review UNIT 1: Parent Functions and Transformations 1. WS Stretches and Shrinks - Day 3. The Squaring Function f ()xx 2 Domain Range Inc/Dec/Con Positive/Negative/Zero Parent Function: 2* Transformations: and 5 2. KeyConcept HW 3. Joanne and Christopher are designing a quilt. notebook 1 August 30, 2013 Aug 23­9:38 AM factor Aug 21­9:23 AM Transformations Sep 6­6:31 PM Parent Functions Transformations of Quadratic Functions: Transforming Investigation(handout) The parent quadratic function is_____ Vertex form for a quadratic function is:_____ Graph the parent quadratic function. Absolute Value Functions Describe the transformation of each function compared to its parent function. notebook 6 October 14, 2014 Oct 12­3:34 PM Parent Function ·V­shape ·It is symmetric about the y­axis (Axis of Symmetry) ·The vertex is the minimum point on the graph Unit 3: Parent Functions. To draw the graph of y = 0x 0 - 4, you can move the entire graph of y = 0x 0 down 4 units without changing its shape. Graphing a function from an equation - Example Graph f (x) = — 1. Explain what it means for a relation to be a function. name: unit 3: parent functions & transformations date: bell: homework 2: graphing absolute value & inequalities * this is a. 9) f (x) = x2 shrink vertically by a factor of 1 2 reflect across the x-axis translate right 3 units 10) f (x) = 1 x stretch horizontally by a factor of 3 translate left 3 units translate up 1 unit 11) f (x Description. WS Shifts Day 1. is a . −Z the parent function: vertical stretch by a factor of 2, reflection over the x-axis, horizontal translation of 3 units to the right, and vertical translation of 4 units up. This series of lessons/project involves parent graphs and transformations for linear, quadratic, absolute value, square root, circular, exponential and rational functions. The parent function for a quadratic function is y = x2 or f(x) = x2. Here is a picture of the graph of g(x) = 3(x)1/2. The Identity Function f ()xx Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness -2 Symmetry Extrema -Asymptotes End Behavior 2. Equivalence of Methods When working with parent polynomial functions of the form y = x", n e Z, n > 0, it is worth noting that the parameters, a and b, responsible for stretches and reflections can be combined to create a single parameter 3 (c) Down unit2 3 y x y = zxz +1 (b) Up 1 unit y x y = zxz –2 (a) Down 2 units pg079 [R] G1 5-36058 / HCG / Cannon & Elich cr 11-10-95 QC2 2. Function Transformation f x x( ) 42 f x x( ) 62 the parent function. Absolute value—vertical shift down 5, horizontal shift right 3. Directions: Classify each function as an exponential growth or an exponential decay. 1 Identify a function as a member of a family of functions based on its symbolic or Unit 3 Linear & Absolute value parent function Day1 January 10, 2018 Unit 3: Introduction to Parent Function Objective:Students will be able to analyze the effects on the graph of linear function and absolute functions by using a graphing calculator. "Parent Function" A basic function used as a 'building block' for more complicated functions (Other parent functions include trig ftnctions, logarithms, exponents, greatest integer, and reciprocals) (parabola) (square root) However, using parent functions and transformation techniques can be an effective way to sketch complicated graphs. Stretching or shrinking 3. Collect Parent Functions sheets VCE Maths Methods - Unit 3 - Transformation of functions Applying transformations: step by step 9 • The order in which transformations are applied will determine the "nal equation. This is an important part of the Function Transformations unit. 13) describe the effect of k on the graph. This is a shift or translation down 4 units. Explain whether the following relations are functions or not. And take note that quality is a must if you want to hit the high marks you have been aiming to get. The general transformation it may be graphed using the following procedure: Steps for Multiple Transformations Use the following order to graph a function involving more than one transformation: 1. ! "=(−/)+ Parent :! "=+ Transformation: Translation 1 unit right b. Start studying algebra 2 unit 3: parent functions & transformations. Horizontal Translation 2. pdf from alg 2 pre 1314 at odessa college. Parent function: absolute value Transformations: 2 units to the right, 5 units down Parent Functions And Transformations Algebra 2 Unit 3 View alg2hw11. The graph of the image function will be the same regardless of which combination of transformations is applied. 53902cefb852f8f456c/MyFiles/Downloads/transformation hw. 1 Success Criteria Unit 3A Test Review Name (Parent Functions, Transformations, Systems of Inequalities, Linear Programming) I. aria Unit 3: Transformations of Functions. A3. learn vocabulary, terms, and more Unit 3 Mod 5. notebook September 06, 2017 Learning Intentions: Given a parent function students will be able to apply the transformation to the graph and describe them. MMA UNIT 3-1 Parent Function Review Name _____Pd____ Identify the parent function name and describe the transformation for each function. 19. The parent rational function is 𝑓𝑥=1 𝑥. 2 338 12. y = a. Method 2 Begin with the parent function and apply the transformations one at a time in the stated order. f (x– h)+ k. 2 (1). = 1 3 log1/3 : − t ;+ s 3. Notes Unit 3 part 1. 3 COMMON CORE Identifying Graphs of Quadratic Functions Work with a partner. The parent function f(x) = 1x is stretched vertically by a factor of 10, translated 5 units down, and reflected in the y-axis. () 5 3 2 x §· ¨¸ ©¹ Directions: (a) Identify the parent function and (b) describe the transformations. Relate the number of real solutions of a quadratic equation to the graph of the associated quadratic function. The most basic of these function types is called the “PARENT FUNCTION” of the family. The function 𝑓𝑥=1 𝑥 has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0. Transformations and Characteristics of Parent Functions Practice. Online writing service includes Unit 3 Parent Functions And Transformations Homework 2 Answers the research material as well, but these Unit 3 Parent Functions And Transformations Homework 2 Answers services are for assistance purposes only. ) The parent function of the quadratic family is f(x) = x2. 2. ! "=. 5 and translated 2 units up. notebook August 16, 2018 Learning Intentions: Unit 3 Module 5. Reflection across the x-axis TRANSFORMING LINEAR FUNCTIONS Practice A 1. Sample Problem 3: Use the graph of parent function to graph each function. ()31 24 x fx §· ¨¸ ©¹ fx3. They start by creating a triangle shape in the lower left quadrant as shown below. Accordingly, we will show lots of graphs, but for your benefit, we strongly encourage you to use your graphing . 1. Examples. Constant Function c. However, using parent functions and transformation techniques can be an effective way to sketch complicated graphs. After the students predict the transformation of each function, I instruct them to check it with a graphing calculator. Reflection about the x axis 3 x2 - 3 8) f (x) = x g (x) = - 1 2-x + 1 Transform the given function f (x) as described and write the resulting function as an equation. Parent Function ­ is the simplest function The parent function f(x) = 1x is compressed horizontally by a factor of 7. Quadratics. Unit 3 Linear & Absolute value parent function Day1 January 10, 2018 Unit 3: Introduction to Parent Function Objective:Students will be able to analyze the effects on the graph of linear function and absolute functions by using a graphing calculator. y = f ( x). […] Working in the essay writing business we understand how challenging it may be for students to write high quality essays. 5) f (x) Function Transformations Created Date: 12/3/2018 11:43:36 PM Families of Functions . 17. numbers with . You are also not alone in discovering that writing this type of paper is really difficult. Describe the transformations AND identify the new asymptote if necessary. Parent Functions and Transformations (Algebra 2 Curriculum - Unit 3) DISTANCE LEARNING. 1Parents of Functions and Transformations Success Criteria Given a parent function equation students will be able to identify the name of the function and domain and range of the graph. Use the function to write g in terms of f c. 3 Transformations of Graphs 79 happens for each kind of transformation we examine. Disclaimer: is the online writing service that offers custom written papers, including research papers, thesis papers, essays and others. 6 Module 1 – Polynomial, Rational, and Radical Relationships Parent Function Worksheet # 1- 7 Give the name of the parent function and describe the transformation represented. This is the function that is transformed to create other members in a family of functions. Convert quadratic functions from standard to vertex form by completing the square. “outside of the function” – either multiplication or addition – you can apply the rules from the two charts on page 68 and 70 to transform the graph of a function. B. aria Transforming the Absolute Value Parent Function Use the coordinate grid at the right. as the quadratic function above; It is not in exactly the same position on the graph. 3 732 x fx 6. 1 Transformations of funcitons (1). Then graph each of the following quadratic functions and describe the transformation. UPDATE: This unit now contains a Google document with: (1) Links to instructional videos. Identify parent function from graphs and equations. 4 . 7 Function Familes Review. I Use re ections to sketch the graph of a function. Identify the intercepts, odd/even/neither, decreasing/increasing Place the following equations underneath the correct parent function: y 23x yx 21 yx 2 3 yx 23 yx 3 2 yx 23 yx 232 y 32x yx 2 3 1 3 2 x y yx 312 yx 32 PART IV: Identifying the family by scenario: Determine whether or not the following situations would be best represented a linear, exponential, or quadratic function. The graph of y = x2 is called the parent graph for the family of parabolas because every other parabola can be seen as a transformation of that one graph. F(x) = (a - h)+ k – Transformations should be applied from the “inside – out” order. 3. Khan Academy Video: What is a Function? Graphing and finding properties of the root function and the reciprocal function. form of the function. I Identify and graph basic parent functions. All of the transformations of a function form a .

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