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: 54

Answer

The red graph is the result. Domain: $(-\infty,\infty)$ Range: $[-3,\infty)$

Work Step by Step

Starting with the graph of $y=|x|$ 1. horizontally shift to the left 1 unit to obtain ... $y=|x+1|$ 2. vertically stretch by a factor of 3 to obtain ... $y=3|x+1|$ 3. vertically shift downward 3 units to obtain ... $y=3|x+1|-3$ Plot several points of $y=|x|,$ perform the transformations 1-3 on each, and join (red on the image). Reading from the graph, Domain: $(-\infty,\infty)$ Range: $[-3,\infty)$
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.