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

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directrix y^2=-24x

directrix

y^{2} = - 24 x

x = 6

Solution steps

Rewrite

y^{2} = - 24 x

in the standard form:

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

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

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

- p

from the center

(0, 0)

x-coordinate

x = 0 - p

x = 0 - (- 6)

Refine

x = 6

y^{2} = x

\frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1

x^{2} = 24 y

3 x^{2} + 3 x + 2 y = 0

x^{2} + y^{2} - 2 x + 4 y + 1 = 0