College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 243: 69


(a) graph 3 (b) graph 1 (c) graph 2 (d) graph 4

Work Step by Step

(a) $y=f(x-4)$ is $f(x)$ shifted right 4 units, so this matches graph 3. (b) $y=f(x)+3$ is $f(x)$ shifted up 3 units, so this matches graph 1. (c) $y=2f(x+6)$ is $f(x)$ vertically stretched by 2 and moved left by 6 units, so this matches graph 2. (d) $y=-f(2x)$ is $f(x)$ reflected around the $x$-axis and shrunk horizontally by a factor of 2, so this matches graph 4.
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.