Stretching and Shrinking Graphs of Functions

Related Topics:
Lesson Plans and Worksheets for Algebra I
Lesson Plans and Worksheets for all Grades
More Lessons for Algebra I
Common Core For Algebra I



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.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.