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2-6 notes student handout

# 2-6 notes student handout - parent function a 2-= x y b 3-=...

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Section 2.6 Vertical and Horizontal Translations Name: ________________ A family of functions is a group of functions with common characteristics, and a ______________ is the simplest function in a family of functions. Example: x y = , 3 - = x y , and 1 9 2 - + = x y are all in the same family, and y = | x | is the parent function. The graphs of the others will resemble the shape of the parent function. A ________________ is an operation that shifts a graph horizontally, vertically or both. Vertical Translations – Shift the graph of the parent function up or down k units. If k is positive the graph will move up If k is negative the graph will move down. 1) For each function, identify the parent function and the value of k . Then graph the function by translating the

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Unformatted text preview: parent function. a.) 2-= x y b.) 3 +-= x y recall: y = -|x| is a reflection about the x-axis of y=|x| 2) Write an equation for the following translation. • The graph of x y 3 = shifted down ½ unit. • The graph of x y 5 4 = shifted up 6 units. Horizontal Translations Consider the function x y = and let h be a positive real number. • h x y + = translates the graph h units LEFT • h x y-= translates the graph h units RIGHT 3) For each function, identify the parent function and the value of h . Then graph the function by translating the parent function. a.) 3 + = x y b.) 3--= x y 4) The red graphs are translations of x y = . Write an equation for each graph. 5) Graph 4 2-+-= x y...
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