Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 211: 46



Work Step by Step

Since the shape of the graph is a $f(x) = \sqrt x$ we will start with that function: $f(x)=\sqrt x$ The first transformation is 9 units down. Remember that shifts up or down are added to the right side of the equation. Up is positive and down is negative. $f(x)=\sqrt{x}-9$ The reflection across the x-axis means multiply the right side by -1 $f(x)=9-\sqrt{x}$ The reflection across the y-axis means change the sign of the x on the right side. $f(x)=9-\sqrt{-x}$
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