Algebra and Trigonometry 10th Edition

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

Chapter 3 - Review Exercises - Page 300: 19



Work Step by Step

Vertex: $(h,k)=(2,-\frac{5}{2})$ Standard form: $y=a(x-h)^2+k$ $y=a(x-2)^2+(-\frac{5}{2})$ $y=a(x-2)^2-\frac{5}{2}$ Now, use the point $(4,\frac{1}{2})$ to find $a$: $\frac{1}{2}=a(4-2)^2-\frac{5}{2}$ $\frac{1}{2}+\frac{5}{2}=a(4)$ $a=\frac{3}{4}$ $y=\frac{3}{4}(x-2)^2-\frac{5}{2}$
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