College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.5 - Page 285: 148


g(x)=-$\frac{1}{4}$$\sqrt {16-x}$-1

Work Step by Step

First, f(x) is shrunk vertically by 4 so we must multiply the function by $\frac{1}{4}$ to get: g(x)=$\frac{1}{4}$$\sqrt {16-x}$ The, f(x) is reflected across the x-axis so we must multiply the function by -1 to get: g(x)=-$\frac{1}{4}$$\sqrt {16-x}$ Finally, f(x) is shifted downward by 1 unit so we must subtract 1 from the function to get: g(x)=-$\frac{1}{4}$$\sqrt {16-x}$-1
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