Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 249: 45



Work Step by Step

Vertex: $(h,k)=(-\frac{5}{2},0)$ Standard form: $y=a(x−h)^2+k$ $y=a[x-(-\frac{5}{2})]^2+0$ $y=a(x+\frac{5}{2})^2$ Now, use the point $(-\frac{7}{2},-\frac{16}{3})$ to find $a$: $-\frac{16}{3}=a(-\frac{7}{2}+\frac{5}{2})^2$ $-\frac{16}{3}=a(-1)^2=a(1)$ $a=-\frac{16}{3}$ $y=-\frac{16}{3}(x+\frac{5}{2})^2$
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