Stretching and Shrinking Graphs of Functions

Examples, solutions, and videos to help Algebra I students learn how to recognize and use parent functions for absolute value, quadratic, square root, and cube root to perform transformations that stretch and shrink the graphs of the functions.
They identify the effect on the graph of y= f(x) when f(x) is replaced with kf(x)and f(kx), for any specified value of k, positive or negative, and identify the constant value, k, given the graphs of the parent functions and the transformed functions.
Students write the formulas for the transformed functions given their graphs.

New York State Common Core Math Algebra I, Module 4, Lesson 20
Worksheets for Algebra 1

Exploratory Challenge 1

a. Consider the function f(x) = |x|. Complete the table of values for f(x). Then, graph the equation y = f(x) on the coordinate plane.

b. Complete the following table of values for each transformation of the function. Then graph the equations g(x), h(x), j(x), and (k(x) on the same coordinate as the graph of f(x). Label each graph.

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