What is the directrix y^2-12x=0 ?

The directrix y^2-12x=0 is x=-3

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directrix y^2-12x=0

directrix

y^{2} - 12 x = 0

x = - 3

Solution steps

Rewrite

y^{2} - 12 x = 0

in the standard form:

4 \cdot 3 (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = 3

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 - 3

Refine

x = - 3

3 - 2 x - x^{2}

x^{2} - 16

- 0.0001 x^{2} + 6.4 x + 7600

x^{2} = 6 y

x = 3 y^{2}