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: 38



Work Step by Step

Vertex: $(h,k)=(-3,-10)$ Standard form: $y=a(x-h)^2+k$ $y=a[x-(-3)]^2+(-10)$ $y=a(x+3)^2-10$ Now, use the point $(0,8)$ to find $a$: $8=a(0+3)^2-10$ $8+10=a(9)$ $a=\frac{18}{9}=2$ $y=2(x+3)^2-10$
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