Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - Review Exercises - Page 353: 44



Work Step by Step

We are told that the focus is above the given vertex; thus, $ p$ is the positive of the distance between the two points. So, $p=7$ Since the vertex and focus have the same x-coordinate, the parabola must have a vertical axis. Now, we will write the equation for the parabola that has a vertical axis using the vertex and $p$. $x^2=4py \implies x^2=(4)(7) \times y $ $\implies x^2=28y$
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