Answer
$x^2=-24y$
Work Step by Step
The directrix passes through the point $(0,6)$. So, the directrix has the form $y=-p$. It is a parabola with vertical axis.
$y=-p=6$
$p=-6$
Equation: $x^2=4py$
$x^2=4(-6)y$
$x^2=-24y$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 7, Conic Sections - Section 7.1 - Parabolas - 7.1 Exercises - Page 555: 47
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