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: 41



Work Step by Step

Vertex: $(h,k)=(5,12)$ Standard form: $y=a(x-h)^2+k$ $y=a(x-5)^2+12$ Now, use the point $(7,15)$ to find $a$: $15=a(7-5)^2+12$ $15-12=a(4)$ $a=\frac{3}{4}$ $y=\frac{3}{4}(x-5)^2+12$
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