College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding: 5


Option (d)

Work Step by Step

RECALL: The graph of the function $y=f(x)+k$ yields one of the following transformations of the parent function $f(x)$: (i) vertical shift of $k$ units upward when $k\gt0$; or (ii) vertical shift of $|k|$ units downward when $k\lt 0$ The given function involves a vertical shift of $3$ units downward. This means thas $k=-3$. Thus, the equation of the function is: $y=\sqrt{x}-3$ Therefore, the answer is Option (d).
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