What is the directrix y^2=-36x ?

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directrix y^2=-36x

directrix

y^{2} = - 36 x

x = 9

Solution steps

Rewrite

y^{2} = - 36 x

in the standard form:

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

(h, k) = (0, 0), p = - 9

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 - (- 9)

Refine

x = 9

x^{2} + 4 y^{2} = 36

y, x^{2} - 6 x + 9 - 4 y^{2} = 0

y^{2} + x^{2} = 25

\frac{x ^{2}}{144} + \frac{y ^{2}}{169} = 1

\frac{x ^{2}}{49} - \frac{y ^{2}}{9} = 1