Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.3 Quadratic Functions and Their Properties - 3.3 Assess Your Understanding - Page 145: 25


See graphs

Work Step by Step

We are given the function: $f(x)=x^2+4x+2$ Rewrite the function building the square: $f(x)=(x^2+4x+4)-4+2=(x+2)^2-2$ We start graphing the parent function $a(x)=x^2$. Then horizontally shift $a(x)$ 2 units to the left to get $b(x)=(x+2)^2$. Finally, vertically shift $b(x)$ 2 units downward to get $f(x)=(x+2)^2-2$. See graphs
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.