Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

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

Answer

See the image below
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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).
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