Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.1 - Sequences - Exercise Set - Page 640: 48

Answer

Refer to the blue graph belpw.
1525058777

Work Step by Step

RECALL: The graph of the function $f(x) = (x-h)^2+k$: (1) has its center at $(h, k)$ (2) involves the following transformation of the parent function $y=x^2$: (a) vertical shift of $|k|$ units, upward when $k\gt 0$, downward when $k \lt0$; and (b) horizontal shift of $|h|$ units, to the right when $h\gt0$, to the left when $h\lt0$ The given equation has: $h=2$ and $k=1$. Thus, the graph of the given function has its vertex at $(2, 1)$ and involves a 2-unit shift to the right and a 1-unit shift upward of the parent function $y=x^2$. Therefore, to graph the given function, perform the following steps: (1) Graph the parent function $y=x^2$ using a table of values. (Refer to the red graph below.) (2) Shift the red graph 2 units to the right and 1 unit upward. (Refer to the blue graph above.)
Small 1525058777
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.