Algebra and Trigonometry 10th Edition

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

Chapter 4 - 4.4 - Translations of Conics - 4.4 Exercises - Page 348: 39



Work Step by Step

We are given that the focus is to the right of the given vertex; thus, $ p$ is half of the distance between the two points. So, $p=\dfrac{1}{2}|4-(-4)|=4$ Since the directrix is vertical, the parabola must have a horizontal axis. Now, we will write the equation for the parabola that has a horizontal axis using the vertex and $p$. $(y-k)^2=4p(x-h)$ $\implies (y-4)^2=16x$
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