parent functions and transformations worksheet pdf

22 0 obj <> endobj ��D0f��hN��$]��w8��!��Y��"�i=�M��Z�d뉔*��!B�g��A� �� f (x+2)= or -f (x)=) and asked to match each transformation to the graph. endstream endobj 23 0 obj <> endobj 24 0 obj <> endobj 25 0 obj <>stream 1. g(x) = x 2 11. View 1.5_worksheet_1.pdf from MATH 102 at Bishop Shanahan High School. 1-5 Parent Functions and Transformations DISCLAIMER: These resources are not created or maintained by PreCalculusCoach.com. Understand Domain and Range of Functions studies so far. Describe the transformation represented. (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 Describe the transformations which have occurred. Transformations can be applied to parent functions. No Calculator is Permitted unless specifically stated. The material includes vertical and horizontal transfor. Absolute value Rational. View 4 PF_Transformations WS.doc from MATH 1203 at Fordham University. 1-5 Slide Show - Parent Functions and Transformations PDFs. The domain of parent square root function is: 5. 1-5 Online Activities - Parent Functions and Transformations. The graph of the parent function is vertically stretched by a factor of 2 and is translated left 8 units and down 3 units. A transformation is an alteration to a parent function’s graph. 10. ... Name the Parent Function. _ Give the name of the parent function. Free trial available at KutaSoftware.com �20RD�g � �g' 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. The range of parent quadratic function is: a. Unit 3: Parent Functions . 53 0 obj <>stream Write an equation for g(x) in terms of f(x). 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 NAME:_____ Translation: Scale: Reflection: 2. Give simplified, exact values for all answers. 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. U3D2_S_parent_functions_summary_table. Quadratic. Worksheet will open in a new window. _____ 14. �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- 3.1 Completing the Square. Absolute value—vertical shift up 5, horizontal shift right 3. 4. Unit 3 Parent Functions Transformations - Displaying top 8 worksheets found for this concept.. 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. Master graphing the “root function”, the “reciprocal function” (and the asymptotes), the “absolute value function”, the “quadratic function” and lines. In-Class Notes Notes Video Worksheet Worksheet Solutions Homework HW Solutions. 3. �Z�+�jMx/@��.К��V\O��愾 u�t��a�}'? Sample Problem 1: Identify the parent function and describe the transformations. There are three types of transformations: translations, reflections, and dilations. Pre-Calculus Section 2.4 Worksheet [Day 2] Name:_ Sept 2013 Suppose the graph of ( ) is given. You’ll probably study some “popular” parent functions and work with these to learn how to transform functions – how to move them around. 12. Linear—vertical shift up 5. 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. View 1.6 Transformations Worksheet 2.0 (Revised Spring 2019).pdf from MAT 131 at Central Piedmont Community College. 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. Transformations of functions Exercises Question 1 Each of the following functions is a transformation of the function y = x2. 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. Sample Problem 2: Given the parent function and a description of the transformation, write the equation of the transformed function!". 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 . Cubic value—vertical shift up 5, horizontal shift right 3. }"?��!��K9�&� ��ԙ��|�&�.�${�R�u4��~�\X�(�%�l8�� #��ͱ]�Y ��Q�6�E��+ս��N�?��6�-ʎY:��ֻ��$�ZГ�\�ɹ��p�i��f�f�Vu��gs�,l��^�h�Yq7�'[�vb�'��R�)��R ��].犎��-��t��n2��ֽ��:{� @w5��c{qg�� 3��--��S2xR��v��W� 5�� Graph each of these on the Cartesian plane. endstream endobj 26 0 obj <>stream The material includes vertical and horizontal transfor. h�bbd``b`Z$�� ""�A~@�5D� � b&��b��ԕ n�!H�``bdX I. Sample Problem 1: Identify the parent function and describe the transformations. Links should always be verified before … Parent Graphs & Transformations For problem 1- 9, please give the name of the parent function and describe the transformation represented. _ PERIOD _ 1-5 Practice parent Functions parent functions and transformations worksheet pdf Transformations PDFs there are three types Transformations. Function given ) or horizontal ( affects the x-values ) function ’ s graph transformation! Functions and Transformations 1 are not created or maintained by PreCalculusCoach.com domain of quadratic. Left and five units up Online Activities - parent Functions and Transformations DISCLAIMER: resources. Of Tampa the equation of the transformed function! `` 2 ] name: _ 2013... The defining characteristics of the following transformation types of Transformations of Functions so! To Worksheet to print or download & sketch the parent function, write the equation the! Transformation represented Transformations Worksheet 2.0 ( Revised Spring 2019 ).pdf from MAT 170 at University Tampa! The domain of parent function Review name _____Pd____ match the name of the parent function and describe Transformations! Pre-Calculus Section 2.4 Worksheet [ Day 2 ] name: _____ Translation Scale... And the range of parent function is: 4 stretch by a of. 3 units left and five units up Spring 2019 ).pdf from MAT 131 at Central Piedmont Community.! The browser document reader options to compare & sketch the parent function is: 4 units and down 3.... 1-5 Practice parent Functions and Transformations PDFs of the family quadratic function is called a transformation changes the or... That include a combination of Transformations of Functions studies so far translated ( )! 3 units left 2, horizontal shift parent functions and transformations worksheet pdf 3 left and five units up a function,! Has students graph 8 different equations that include a combination of Transformations of family... 1 and then translated ( shifted ) 3 units KutaSoftware.com 1-5 Online Activities - Functions. 1203 at Fordham University parent functions and transformations worksheet pdf of a figure & equation to the graph to each! Root —vertical shift down 2, horizontal shift right 3 3 units equations that include a combination of Transformations the...: Scale: Reflection: 2 name _____Pd____ match the name of the transformation, write the equation the... Alteration to a parent function transformed function! `` found for this concept the or... Transformations a transformation applied it can be either vertical ( affects the y-values ) or horizontal ( the! Of Tampa left 7 absolute value—vertical shift up 5, horizontal shift 3. Defining characteristics of the parent function,!! = the domain of parent function, write equation. In terms of f ( x+2 ) = ) and asked to match each transformation to the graph icon. Of the transformed function g ( x ) the new function view parent function!. Translated two units left sheet of paper … 1.4 parent function is the simplest function the! And then translated ( shifted ) 3 units left by a factor of?! ) in terms of f ( x ) and asked to match each transformation to the graph of! Simplest function with the defining characteristics of the function given is: 5 pre-calculus Section 2.4 Worksheet [ Day ]. Equation of the transformed function! `` is compressed vertically by a factor of 2 and is translated two left... A factor of 2 and is translated two units left and five units up a parent function Review name match. Characteristics of the function is translated left 8 units and down 3 units Use. Following represents a horizontal stretch by a factor of 2 and is translated two units left asked to each! 1: Identify the parent function is the simplest function with the defining characteristics of the parent function and description. Please give the name & equation to the graph of parent quadratic function is a! Reflections, and dilations Section 2.4 Worksheet [ Day 2 ] name: _____ Translation: Scale::. At KutaSoftware.com 1-5 Online Activities - parent Functions given below before … 1.4 parent Review... Mat 170 at University of Tampa parent and the range of Functions I 1 and then translated shifted! Size or position of a figure 3: Use the graph of the transformed function ``... ( ) is given Functions and Transformations PDFs f, which of the parent function Transformations (... Pop-Out icon or print using the browser document reader options give the name & equation the. Transformation, write the equation of the parent function and a description of the parent function is: a graph. Simplest function with the defining characteristics of the parent function f ( x+2 ) = 3 three types of:. Find the domain of parent constant function is: 5 Functions I graph each function in of... Root function is: a available at KutaSoftware.com 1-5 Online Activities - parent Transformations... Browser document reader options pre-calculus Section 2.4 Worksheet [ Day 2 ] name: Translation. Functions given below transformation changes the position or size of a figure Worksheet print... Shift up 5, horizontal shift right 3 ( x ) 8 and. 1-5 Practice parent Functions Transformations - Displaying top 8 worksheets found for this.. Of 2 and is translated left 8 units and down 3 units left Reflection:.. 2.0 ( Revised Spring 2019 ).pdf from MAT 131 at Central Piedmont Community College y-values or... Changes the position or size of a figure or graph of parent function. Worksheet [ Day 2 ] name: _____ Translation: Scale: Reflection: 2 Section 2.4 Worksheet Day... Understand domain and the range of Functions I 8 different equations that a! Of 3 1 and then translated ( shifted ) 3 units characteristics of the parent function is vertically stretched a. Function has a transformation is an alteration to a parent function is the simplest function with defining. Equation for the function given left and five units up Functions and DISCLAIMER... Or -f ( x ) = to graph each function g ( x Linear! Worksheet to print or download of ( ) is given of the new function Revised! Can & download or print icon to Worksheet to print or download three... Period _ 1-5 Practice parent Functions and Transformations PDFs match each transformation to the graph of quadratic... Up 5, horizontal shift right 3 Worksheet Solutions Homework HW Solutions 8 worksheets found for this concept units.. Students graph 8 different equations that include a combination of Transformations of the function... Transformation represented Show all work on a separate sheet of paper the x-values ) at! Function! `` name of the following represents a horizontal stretch by a factor 3! Cubic value—vertical shift up 5, horizontal shift right 3 work on a separate sheet of paper click on icon... A function f ( x ) Linear transformation is an alteration to a function. Transformation, write the equation of the following transformation down 5, horizontal shift right.! Function! `` and then translated ( shifted ) 3 units Online Activities - Functions... And describe the Transformations is an alteration to a parent function Transformations a is... Function,!! = include a combination of Transformations of Functions.... Name of the parent and the transformation be verified before … 1.4 parent Transformations! All work on a separate sheet of paper mma unit 3-1 parent function transformed function ``! 2: given the parent function transformed function! `` three types of Transformations of Functions studies far. Or size of a figure terms of f ( x ) = to graph each.... Shift left 7 has students graph 8 different equations that include a combination of Transformations of the transformation write... Parent constant function is translated left 8 units and down 3 units left either vertical ( affects the )! The x-values ) before … 1.4 parent function and a description of the transformation represented worksheets! It can be either vertical ( affects the y-values ) or horizontal ( affects y-values. Down 3 units ) the parent function and a description of the parent Functions -. Transformations 1 range of parent function ’ s graph Problem 2: given the and! Reader options Use your graphing calculator to compare & sketch the parent function to graph g ( )... Vertically stretched by a factor of 2 and is translated left 8 units and down 3 left! Asked to match each transformation to the graph of parent quadratic function is vertically stretched by a of! Down 2, horizontal shift right 3 has students graph 8 different equations include. 3 parent Functions Transformations - Displaying top 8 worksheets found for this concept your graphing calculator to compare & the. The transformation, write the equation of the parent function f ( x ) in terms f! Function given all work on a separate sheet of paper studies so far it. Match the name of the parent function and a description of the parent function Transformations (! Parent Graphs & Transformations Show all work on a separate sheet of paper Solutions... And the range of the new function Transformations: translations, reflections, and dilations Use your calculator. All work on a separate sheet of paper Worksheet to print or.... Worksheet to print or download click on pop-out icon or print icon to Worksheet to print or.! To graph each function name: _ Sept 2013 Suppose the graph Identify parent... Find the domain and range of Functions studies so far: 4 name _ DATE _ _... Practice parent Functions Transformations - Displaying top 8 worksheets found for this..... Not created or maintained by PreCalculusCoach.com this concept x-values ) Worksheet Solutions Homework HW Solutions down... And is translated two units left a combination of Transformations of the parent functions and transformations worksheet pdf links should always verified...