Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 298: 69


Refer to the blue graph below.

Work Step by Step

The parent function of $f(x)=|x|-3$ is the absolute value function $y=|x|$. Graph the parent function $y=|x|$. (refer to the graph below). RECALL: The graph of the function $y=f(x)+k$ involves a vertical shift of $|k|$ units (upward when $k\gt0$, downward when $k\lt0$). The given function can be written as $f(x) = |x|=(-3)$. This equation is of the form $y=f(x)+(-3)$. Thus, with $k=-3$, the graph of the given function involves a3-unit downward shift of the parent function $y=|x|$. Graph the given function by applying a 3-unit downward shift of the graph of $y = |x|$. (Refer to the blue graph in the answer part above).
Small 1517201222
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.