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: 39



Work Step by Step

Vertex: $(h,k)=(1,-2)$ Standard form: $y=a(x-h)^2+k$ $y=a(x-1)^2+(-2)$ $y=a(x-1)^2-2$ Now, use the point $(-1,14)$ to find $a$: $14=a(-1-1)^2-2$ $14+2=a(4)$ $a=\frac{16}{4}=4$ $y=4(x-1)^2-2$
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