What is the directrix x^2+24y=0 ?

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directrix x^2+24y=0

directrix

x^{2} + 24 y = 0

y = 6

Solution steps

Rewrite

x^{2} + 24 y = 0

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

- 0.0000848 x^{2} - 0.006005 x + 1.004

y = x^{2} - 3 x - 4

- 2 x^{2} + 4

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

x - y^{2} = 0