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 \cdot 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

- \frac{1}{2} x^{2} + 5 x - 2

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

16 x^{2} - 25

- x^{2} + 64 x - 292

y = 5 x^{2} + 13 x - 6