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 - Page 258: 44

Answer

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

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.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.