Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 58


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Work Step by Step

We are given the function: $f(x)=-4\sqrt{x-1}$ We start graphing with the basic function $a(x)=\sqrt x$. We horizontally shift $a(x)$ one unit to the right to get $b(x)=\sqrt{x-1}$. Then we vertically stretch $b(x)$ by a factor of 4 to get $c(x)=4\sqrt{x-1}$. Finally we reflect $c(x)$ about the $x$-axis to get $f(x)=-4\sqrt{x-1}$. We use 4 points: $(1,0),(2,-4),(5,-8)$.
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