Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 43: 5

Answer

See the image below.

Work Step by Step

(a) $y=f(2x)$, in this case we have to shrink the graph of $f$ horizontally by a factor of 2. (b) $y=f(\frac{1}{2}x)$, stretch the graph of $f$ horizontally by a factor of 2. (c) $y=f(-x)$, reflect the graph of $f$ about the $y$-axis. (d) $y=-f(-x)$, reflect the graph of $f$ about both the $y$-axis and $x$-axis (in this case it doesn't matter which reflection will be done first; in both cases we will get the same graph).
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.