# parent functions and transformations worksheet pdf

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). Transformations of functions Exercises Question 1 Each of the following functions is a transformation of the function y = x2. Linear—vertical shift up 5. 2g(x) = x – 1 Parent: _____ Transformations:_____ View 4 PF_Transformations WS.doc from MATH 1203 at Fordham University. Vertical shift up 2, horizontal shift left 3, reflect about x-axis Describe the transformation (translation, scale, and/or reflection) that happens to the function . f (x+2)= or -f (x)=) and asked to match each transformation to the graph. QQ(���ٙ endstream endobj 23 0 obj <> endobj 24 0 obj <> endobj 25 0 obj <>stream View Parent function transformations formative (2).pdf from MAT 170 at University of Tampa. You may use your graphing calculator to compare & sketch the parent and the transformation. 11. 4. PDF (2.04 MB) In this worksheet, students are given 4 parent functions (cubic, quadratic, absolute value, exponential) and 16 examples of different transformations in function form (i.e. Transformation:_____ #13 - 17 Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). Sample Problem 2: Given the parent function and a description of the transformation, write the equation of the transformed function!". We call these basic functions “parent” functions since they are the simplest form of that type of function, meaning they are as close as they can get to the origin \left( {0,\,0} \right).The chart below provides some basic parent functions that you should be familiar with. Students are asked to use parent functions and knowledge of transformations to obtain the graph of the equation without using a calculator.Transformations in thi Cubic value—vertical shift up 5, horizontal shift right 3. �20RD�g � �g' ����D0f��hN������$]��w8��!���Y��"�i=�M������Z�d뉔*�����!B�g��A� �� Pre-Calculus Section 2.4 Worksheet [Day 2] Name:_ Sept 2013 Suppose the graph of ( ) is given. 1-5 Bell Work - Parent Functions and Transformations. Graph each of these on the Cartesian plane. NAME:_____ Translation: Scale: Reflection: 2. Describe the 18. y 2 x 2 3 19. y 2x 3 1) ... Parent Function Worksheet #2 Author: HUMBLE ISD f(x) = 2. Transformations can be applied to parent functions. 53 0 obj <>stream endstream endobj startxref Master graphing the “root function”, the “reciprocal function” (and the asymptotes), the “absolute value function”, the “quadratic function” and lines. Below is an equation of a function … b) The parent function, !!=! In-Class Notes Notes Video Worksheet Worksheet Solutions Homework HW Solutions. a) The parent function, !!=! View 1.5_worksheet_1.pdf from MATH 102 at Bishop Shanahan High School. %PDF-1.5 %���� h޴Vmo�8�+�Չ�-qi�Da�"m���'!>�॑B��������lw�{B���~���*�B�_�'A 1-5 Assignment - Parent Functions and Transformations. H��W�V�0��+���g/z(ehZ�JMpB�mH��/+ٖ-U78$F�z���)[����*k'����#�dS+".�����-���Y.�&�ee���ٍŷZ4�l�}K��^�Jz�vK� 3) Use the description to write the transformed function, g(x). Worksheet will open in a new window. There are three types of transformations: translations, reflections, and dilations. Find the domain and the range of the new function. A change in the size or position of a figure or graph of the function is called a transformation. Exponential. Given the parent function , write the equation of the following transformation. endstream endobj 26 0 obj <>stream The material includes vertical and horizontal transfor. The graph of the parent function is translated two units left and five units up. Unit 3: Parent Functions . 4.1 Transformations 1. Finally, transformations for each function are in 1.4 Parent Function Transformations A transformation changes the position or size of a figure. Linear—vertical shrink by 2 5 _____ 15. The range of parent quadratic function is: a. 38 0 obj <>/Filter/FlateDecode/ID[<1CE5D11EF4E04C419627F261FDD0E5E6>]/Index[22 32]/Info 21 0 R/Length 82/Prev 75840/Root 23 0 R/Size 54/Type/XRef/W[1 2 1]>>stream The graph of the parent function is vertically stretched by a factor of 2 and is translated left 8 units and down 3 units. Describe the transformation represented. Worksheet by Kuta Software LLC Pre-AP Algebra 2 Function Transformations ©a x2b0U1\8s mKEuatXa DSgoxfYtvwAarr[eG FLCLaCt.c I [AblAl\ OrdiSgNhItsH ]rAeDszeArgvZexdD. Quadratic. This is a foldable used to compare and contrast 3 functions: Linear, Quadratic & Absolute Value.The student records the 3 parent function equations, graphs each function by making a table of values, then identifies the domain & range of each. 1. U3D2_S_parent_functions_summary_table. Find the domain and the range of the new function. Many functions can be graphed by simply knowing the general shape of basic graphs of functions and understanding what effect In-Class Notes Notes Video ... 3.4 Transformations of Functions I. h�bf2eaP��c@ >�rlX|�ـA�ƶ��g��\�>�����&��(:�&�3�2����_�&�V�I3Ӿ�n�� i.ƌ ���@���X~�� ��t Sample Problem 3: Use the graph of parent function to graph each function. 3. NAME _ DATE _ PERIOD _ 1-5 Practice Parent Functions and Transformations 1. Understand Domain and Range of Functions studies so far. The material includes vertical and horizontal transfor. 13) x y Parent: f(x) x g(x) (x ) 14) x y Parent: f(x) x g(x) x Create your own worksheets like this one with Infinite Precalculus. The domain of parent square root function is: 5. Worksheet by Kuta Software LLC Algebra 2 Transformations of Functions - Reflections Name_____ Date_____ Period____-1-Write g (x) (dashed line) in terms of f (x) (solid line). Absolute value—vertical shift up 5, horizontal shift right 3. 1-5 Online Activities - Parent Functions and Transformations. When a function has a transformation applied it can be either vertical (affects the y-values) or horizontal (affects the x-values). 287 #73-75, 79-81 . Worksheet 2.4—Parent Functions & Transformations Show all work on a separate sheet of paper. 1. Unit 3 Parent Functions Transformations - Displaying top 8 worksheets found for this concept. a Write an equation for g(x) in terms of f(x). �Z�+�jMx/@��.К��V\O��愾 u�t����a�}'? �E��Iأ h�bbdbZ$�� �""�A~@�5D� � b&��b��ԕ n�!H�bdX Square Root —vertical shift down 2, horizontal shift left 7. b. Use the graph of f(x) = to graph g(x) = 3. 22 0 obj <> endobj Describe the transformations which have occurred. 13. Parent Function Worksheet Here are the names of six parent functions: Linear Quadratic Cubic Absolute value Reciprocal Radical # 1- 7 Give the name of the parent function and describe the Transformation(s)(s) represented. 3.1 Completing the Square. 1-5 Exit Quiz - Parent Functions and Transformations. Sample Problem 1: Identify the parent function and describe the transformations. a. 12. Transformation Homework Name _Pd. Absolute value—vertical shift down 5, horizontal shift right 3. Links should always be verified before … Sample Problem 3: Use the graph of parent function to graph each function. The rule of parent constant function is: 4. Some of the worksheets for this concept are The parent functions, 1 5 guided notes te, Work parent functions transformations no, Parent function transformations quiz, Function family fun, Intrototransformationswork mcr3u jensen, Transformations of functions answer key algebra 2, Y ax h2 k. Found worksheet you are looking for? 1. g(x) = x 2 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. !, is compressed vertically by a factor of 3 1 and then translated (shifted) 3 units left. 3.2 Graphing Quadratic Functions. Function Parent Function Transformed function g(x) Linear. 1-5 Slide Show - Parent Functions and Transformations PDFs. Identify the parent function f (x) and write an equation for the function given. Sample Problem 2: Given the parent function and a description of the transformation, write the equation of the transformed function!". Some of the worksheets for this concept are The parent functions, 1 5 guided notes te, Work parent functions transformations no, Parent function transformations quiz, Function family fun, Intrototransformationswork mcr3u jensen, Transformations of functions answer key algebra 2, Y ax h2 k. 1. g(x) = x 2 – 1 Name: Transformation(s): 2. f(x) = 21x Name: Transformation(s): 3. h(x) = x 2 Name: Transformation(s): 4. 0 _____ 14. Honors Pre-Calculus Name _ HW: 1.6 Transformations v2.0 No Calculator is Permitted unless specifically stated. Free trial available at KutaSoftware.com ... Name the Parent Function. Give simplified, exact values for all answers. 13. I. View 1.6 Transformations Worksheet 2.0 (Revised Spring 2019).pdf from MAT 131 at Central Piedmont Community College. f (x+2)= or -f (x)=) and asked to match each transformation to the graph. �x����>���%~ � �!H�$xHH�9HO��:����"���6,�������G�i^��>��Z��uR��.��9�E^c�l& ���gj��̐83�I]�iY,cS��t4f3�Z/��9���IeV��@����&Yeи��A�����v[s�Ɋ�����wP-M^C 6L��L�~�i�8��ᆲq��+P�]��m�:��:���n!��%XX�8٤��j�nL�x,6I~m}��0�A�m���3������P��$�MO��&u���A��p�f����(����.J�wgv��]����e�J�5{J�A^���qZV��%)Aɓ Hc��礉:b�皰��oƂ�#áW�K5�> ��SJ�r�r1>_�Ax4^ %hT/k>��T�|a����M����d���E�F�M�)�M��#���Gv���.^*�4v��e�g�56����_���Ҽ���B���w[d�_&G���J_���祈w�"R����}�Oɔ�0R�Hȍ�[ӎ�1�U�,��ޫ��,�:�vlk}�x�\u|Zgh- To download/print, click on pop-out icon or print icon to worksheet to print or download. Sample Problem 1: Identify the parent function and describe the transformations. PDF (2.04 MB) In this worksheet, students are given 4 parent functions (cubic, quadratic, absolute value, exponential) and 16 examples of different transformations in function form (i.e. Absolute value Rational. Give a function f, which of the following represents a horizontal stretch by a factor of 3? Graph each equation. List the transformations. The parent function is the simplest function with the defining characteristics of the family. This worksheet has students graph 8 different equations that include a combination of transformations of the parent functions given below. Textbook HW Pg. A transformation is an alteration to a parent function’s graph. (a) y = (x 1)2 (b) y = (x+1)2 (c) y = x2 1 (d) y = x 2+1 (e) y = (x 3)2 +4 1-5 Parent Functions and Transformations DISCLAIMER: These resources are not created or maintained by PreCalculusCoach.com. h�����. Multiple Choice _____1. 5. Parent Graphs & Transformations For problem 1- 9, please give the name of the parent function and describe the transformation represented. 10. You’ll probably study some “popular” parent functions and work with these to learn how to transform functions – how to move them around. !, is reflected over the x-axis, stretch horizontally by a factor of 3 … Parent Transformations: For problems 10 – 15, given the parent function and a description of the transformation, write the equation of the transformed function, f(x). You can & download or print using the browser document reader options. �X�bä q>iT|U ��P��)L����Ow��z���&�[�E�v�����D.6$�V���;)�[X^wf��3�f��������AJ?s3F��%pf��OM�HM��ۃz�F�P�S Tҗ This worksheet has students graph 9 different equations that include a combination of transformations of the parent functions given below without using a calculator, write an equation given a description of translations, and write an equation given a graph of a translated function. }"?��!���K9�&� ��ԙ����|�&�.�${�R�u4���~�\X�(�%�l8�� ��#������ͱ]�Y ��Q�6�E����+ս��N�?�����6�-ʎY:��ֻ���$�ZГ�\�ɹ��p�i��f�f�Vu����gs�,l����^�h�Yq7�'[�vb�'��R�)����R ��].犎���-���t����n2���ֽ��:{� @w5��c{qg��� 3��--��S2xR��v���W� 5�� Describe the transformations necessary to transform the graph of f (x) (solid line) into that of g (x) (dashed line). 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X-Values ) Root function is called a transformation applied it can be either vertical ( affects the y-values or! ) Linear calculator to compare & sketch the parent function transformed function! ` be either vertical ( affects y-values! Up 5, horizontal shift right 3 ( Revised Spring 2019 ).pdf MAT... Which of the parent function transformed function g ( x ) = or -f ( )! At Central Piedmont Community College stretched by a factor of 3 Worksheet Solutions Homework HW Solutions parent Root... And down 3 units 5, horizontal shift right 3 Revised Spring 2019.pdf!