Parent Functions And Transformations Worksheet With Answers 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 10 Absolute value vertical shift down 5 horizontal shift right 3 11 Linear vertical shift up 5 12 Square Root vertical shift down 2 horizontal shift left 7 13
Sample Problem 1 Identify the parent function and describe the transformations Sample Problem 2 Given the parent function and a description of the transformation write the equation of the transformed function Quadratic expanded horizontally by a factor of 2 translated 7 units up Identify the parent function f x and write an equation for the function given 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 Free trial available at KutaSoftware
Parent Functions And Transformations Worksheet With Answers
Parent Functions And Transformations Worksheet With Answers
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Parent Functions And Transformations Worksheet With Answers Rocco
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Parent Functions And Their Transformations Interactive Worksheet
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Parent Transformation 8 Parent Transformation Given the parent function and a description of the transformation write the equation of the transformed function 9 Square Root Function Reflected in the x axis Translated 12 units down 10 Absolute value Parent Function Worksheet 1 7 Give the name of the parent function and describe the transformation represented Describe the transformation from its parent function 8 g x 3 x For each problem answer the following questions a What type of relationship is indicated by the following set of ordered pairs b Find an equation that
We can think graphs of absolute value and quadratic functions as transformations of the parent functions x and x Importantly we can extend this idea to include transformations of any function whatsoever This fascinating concept allows us to graph many other types of functions like square cube root exponential and logarithmic functions WORKSHEET 1 2 Parent Functions and Transformations Name Hour Date SECTION 1 State which function family SECTION 3 Describe the transformation that took place from the parent function to each function listed below Be specific 9 f
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The include the points ordered pairs of the original parent functions and also the transformed or shifted points The first two transformations are the third is a and the last are forms of Absolute value transformations will be discussed more expensively in the Transformation This worksheet is designed to provide you with a comprehensive overview of parent functions and their transformations along with detailed answers to help you gauge your progress The worksheet covers a range of essential concepts including the definition and characteristics of parent functions such as linear quadratic exponential and
Graph the following functions without using technology Feel free to use a graphing calculator to check your answer but you should be able to look at the function and apply what you learned in the lesson to move its parent function Also state the domain and range for each function 1 fx x 2 4 2 2 fx x 3 1 3 3 Unit 1 Linear equations and inequalities Unit 2 Graphs and forms of linear equations Unit 3 Functions Unit 4 Quadratics Multiplying and factoring Unit 5 Quadratic functions and equations Unit 6 Complex numbers Unit 7 Exponents and radicals Unit 8 Rational expressions and equations Unit 9 Relating algebra and geometry
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Parent Functions And Transformations Worksheet With Answers - Parent Transformation 8 Parent Transformation Given the parent function and a description of the transformation write the equation of the transformed function 9 Square Root Function Reflected in the x axis Translated 12 units down 10 Absolute value