Answer
$$(x-2)^2=-16(y-3)$$
Work Step by Step
The equation of a parabola when the distance of the point $(x,y)$ from the line $y=7$ is $|y-7|$.
Thus, $|y-7|=\sqrt {(x-2)^2+(y+1)^{2}}$
$-16y+48=x^2-4x+4$
Hence, $$(x-2)^2=-16(y-3)$$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 10 - Parametric Equations and Polar Coordinates - 10.5 Conic Sections - 10.5 Exercises - Page 720: 34
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
