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: 40



Work Step by Step

Vertex: $(h,k)=(2,3)$ Standard form: $y=a(x-h)^2+k$ $y=a(x-2)^2+3$ Now, use the point $(0,2)$ to find $a$: $2=a(0-2)^2+3$ $2-3=a(4)$ $a=-\frac{1}{4}$ $y=-\frac{1}{4}(x-2)^2+3$
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