Parent Function And Transformation Worksheet 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
THE PARENT FUNCTIONS 1 Module 1 Polynomial Rational and Radical Relationships THE PARENT FUNCTIONS LINEAR ABSOLUTE VALUE y x y x EXPONENTIAL CUBE ROOT y 2X b 0 yx3 QUADRATIC SQUARE ROOT y x2 y x 2 The Parent Function is the simplest function with the defining characteristics of the family Functions in the same family are transformations of their parent functions Family Constant Function Family Linear Function Graph 5 y 4 3 2 1 5 4 3 2 1 1 1 2 2 3 4 5 Rule Domain Range
Parent Function And Transformation Worksheet
Parent Function And Transformation Worksheet
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50 Parent Function Worksheet Answers
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WORKSHEET 1 2 Parent Functions and Transformations Name Hour Date SECTION 1 State which function family each transformation belongs to 3 4 SECTION 2 Define each transformation 5 Translation 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
Meet the Parents Below are graphs of parents functions used in Algebra 2 It is important that you are able to recognize a function by its equation and its graph Absolute Value Exponential Growth 2 Exponential Decay 1 2 Even Power 2 Odd Power 3 Even Root Sine sin Cosine cos Rational 1 Logarithmic log Odd Root 3 Parent Function Worksheet 1 Parent Graphs Transformations For problem 1 6 please give the name of the parent function and describe the transformation represented You may use your graphing calculator to compare sketch the parent and the transformation Transformations 6 f x x 5 7 h x x
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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 f x x 2 4 Domain Range 4 f x 3 x 1 5 Domain Range 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
Worksheet P 2 Parent Functions Transformations Without a calculator set up the equation for then sketch the graph of each of the following functions gx using any or all of the functions from the Catalog of Parent Functions Be sure to show the important information like asymptotes intercepts and discontinuities State the Domain and 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
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Parent Function And Transformation Worksheet - A refl ection is a transformation that fl ips a graph over a line called the line of refl ection A refl ected point is the same distance from the line of refl ection as the original point but on the opposite side of the line EXAMPLE 3 Graphing and Describing Refl ections Graph p x x2 and its parent function