What is the directrix x^2=-12y ?

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directrix x^2=-12y

directrix

x^{2} = - 12 y

y = 3

Solution steps

Rewrite

x^{2} = - 12 y

in the standard form:

4 (- 3) (y - 0) = (x - 0)^{2}

(h, k) = (0, 0), p = - 3

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(0, 0)

y-coordinate

y = 0 - p

y = 0 - (- 3)

Refine

y = 3

y^{2} = 32 x

y^{2} = - 2 x

\frac{y ^{2}}{64} - \frac{x ^{2}}{36} = 1

x^{2} + y^{2} + 6 x - 2 y - 15 = 0

\frac{y ^{2}}{4} - \frac{x ^{2}}{5} = 1