What is the directrix y^2-2y-12x+25=0 ?

The directrix y^2-2y-12x+25=0 is x=-1

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directrix y^2-2y-12x+25=0

directrix

y^{2} - 2 y - 12 x + 25 = 0

x = - 1

Solution steps

Rewrite

y^{2} - 2 y - 12 x + 25 = 0

in the standard form

4 \cdot 3 (x - 2) = (y - 1)^{2}

(h, k) = (2, 1), 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

(2, 1)

x-coordinate

x = 2 - p

x = 2 - 3

Refine

x = - 1

y^{2} - 6 x - y + 11 = 0

4 (x + 1)^{2}

x^{2} + 5 x - 24

\frac{1}{24} y^{2}

y = 25 x^{2} - 70 x + 36