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: 14

Answer

(a) reflect $f(x)$ about the $x$ and $y$ axes, and shift up 1 unit (b) reflect $f(x)$ about the $x$-axis, shrink vertically by $\frac{1}{5}$ and shift up 2 units

Work Step by Step

(a) We can obtain $1-f(-x)$ by reflecting the graph of $f(x)$ about the $x$-axis and $y$-axis and moving the graph up 1 unit. (b) We can obtain $2-\frac{1}{5}f(x)$ by reflecting the graph of $f(x)$ about the $x$-axis, shrinking vertically by a factor of $\frac{1}{5}$ and shifting up 2 units.
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