What is the directrix x^2=-24y ?

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directrix x^2=-24y

directrix

x^{2} = - 24 y

y = 6

Solution steps

Rewrite

x^{2} = - 24 y

in the standard form:

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

(h, k) = (0, 0), p = - 6

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 - (- 6)

Refine

y = 6

y = - 9 x^{2} + 2

x^{2} - 12 x + 1

y = (2 x + 3)^{2}

3 x^{2} + 7 x + 1

0.3 + 5.5 t - 4.9 t^{2}