College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 243: 43

Answer

Refer to the blue graph below.
1511921820

Work Step by Step

RECALL: (1) The function $y=-f(x)$ involves a reflection about the x-axis of the parent function $f(x)$. (2) The function $y=a\cdot f(x)$ involves a vertical stretch of the parent function $f(x)$ when $a \gt 1$. The function will involve a vertical compression when $0 \lt a \lt 1$. The parent function of the given function is $y=|x|$. The graph of the given function involves a vertical stretch by a factor of $3$ of the parent function $y=|x|$. Thus, to graph the given function: (1) Graph the parent function $y=|x|$ . (Refer to the red graph in the attached image below) (2) Multiply $3$ to each y-value of the parent function while keeping the value of the x-coordinate of each point. (Refer to the blue graph in the attached image above.)
Small 1511921820
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.