Answer
$x^2=-12(y-3)$
Work Step by Step
Distance of the point $(x,y)$ from the line $y=6$ is $|y-6|$
Therefore, the equation of the parabola is
$|y-6|=\sqrt {x^2+y^{2}}$
$x^2=-12y+36$
$x^2=-12(y-3)$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 10 - Section 10.5 - Conic Sections - 10.5 Exercises - Page 709: 34
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