Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 243: 123

Answer

The possible function corresponding to the graph is $y=\sqrt{x-2}$.

Work Step by Step

The above shown graph is similar to the graph of the function $y=\sqrt{x}$ but the graph of the function $y=\sqrt{x}$ passes through the origin. The above given graph starts from the point $x=2$. Thus, the graph shifs horizontally right by 2 units. Thus, the graph is shifted by c units so, the function is of the form $y=\sqrt{x-c}$ , where the value of $c$ is 2. Therefore, the possible function is $y=\sqrt{x-2}$.
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