College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 293: 12

Answer

a. C b. A c. D d. B

Work Step by Step

$$y=a(x-h)^2+k$$ If a is positive, the parabola opens up. If a is negative, the parabola opens down. Therefore, parabolas A and B open up, and parabolas C and D open down. The equations are in vertex form. Graph a has (-4,2) as its vertex. Graph b has (-2,4) as its vertex. Graph c has (-4,2) as its vertex. Graph d has (-2,4) as its vertex. Knowing this, we can see which graph matches to which equation.
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