Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 206: 14

Answer

$a.$ Starting with the graph of $f(x)$, - reflect it about the y-axis ... to get $f(-x)$ , - then reflect about the x-axis ... to get $-f(-x)$ , - and raise it up by 1 unit ... to get $-f(-x)+1.$ $b.$ Starting with the graph of $f(x)$, - compress it vertically by factor $\displaystyle \frac{1}{5}$... to get $\displaystyle \frac{1}{5}f(x)$ , - then reflect about the x-axis ... to get $-\displaystyle \frac{1}{5}f(x)$ , - and raise it up by $2$ units ... to get $-\displaystyle \frac{1}{5}f(x)+2$

Work Step by Step

The exercise is to describe transformations, so the answer is given in step-by-step form.
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