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: 70

Answer

(a) graph 2 (b) graph 3 (c) graph 1 (d) graph 4

Work Step by Step

(a) $y=\displaystyle \frac{1}{3}f(x)$ is $f(x)$ compressed vertically by $\frac{1}{3}$, so this matches graph 2. (b) $y=-f(x+4)$ is $f(x)$ flipped around the $x$-axis and moved left 4 units, so this matches graph 3. (c) $y=f(x-5)+3$ is $f(x)$ moved right 5 units and up 3 units, so this matches graph 1. (d) $y=f(-x)$ is $f(x)$ reflected around the $y$-axis, so this matches graph 4.
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