College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 293: 13

Answer

The vertex is (2,0). The axis is x=2. The domain is $(-\infty,\infty)$. The range is $[0,\infty)$ The function is increasing on $[2,\infty)$. The function is decreasing on $(-\infty, 2)$.

Work Step by Step

The equation is in form $y=a(x-h)^2+k$ The vertex is (h,k). The vertex is (2,0). The axis is x=h. The axis is x=2. The domain is $(-\infty,\infty)$. The range is $[0,\infty)$, since there will never be a coordinate with a negative y-value. The function is increasing on $[2,\infty)$, since a>0. The function is decreasing on $(-\infty, 2)$, since a>0.
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