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 212: 50a


$f(x)=8\sqrt x$

Work Step by Step

Since the graph follows the shape $f(x)=\sqrt x$ we will start with that equation: $f(x)=\sqrt x$ Notice the graph has been stretched vertically (by a factor of k) and will follow the below equation: $f(x)=k \sqrt x$ Substitute (4,16) into the above equation to solve for k: $16=k\sqrt 4$ $k=8$ So we get the final function: $f(x)=8\sqrt x$
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