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: 44

Answer

Refer to the image below for the graph (the black one).
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Work Step by Step

Graph the parent function $ y=\sqrt{x}$. (refer to the attached image below) RECALL: The function $y=f(x-h)$ involves a horizontal shift of either $h$ units to the right of the parent function $f(x)$ if $h \gt 0$, or $|h|$ units to the left when $h \lt0$ The given function has $h=-1$ therefore its graph involves a $1$ unit shift to the left of the parent function. Thus, to graph the given function, shift each plotted point of the parent function $y=\sqrt{x}$ one unit to the left, then connect the points using a curve. (Refer to the attached image in the answer part above.)
Small 1511240023
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