College Algebra (10th Edition)

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

Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding - Page 299: 24


see image:

Work Step by Step

Let $f_{1}(x)=x^{2}$. Then, $f(x)=f_{1}(x-3)-10$. Starting with the graph of $f_{1}(x)=x^{2}$ (black-dashed), shift it right 3 units to obtain the graph of $f_{1}(x-3)$ (green dashed), and then lower it $10$ units down to obtain $f_{1}(x-3)-10=f(x)$ (red).
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.