What is the directrix (y-6)^2=36(x-2) ?

The directrix (y-6)^2=36(x-2) is x=-7

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directrix (y-6)^2=36(x-2)

directrix

(y - 6)^{2} = 36 (x - 2)

x = - 7

Solution steps

Rewrite

(y - 6)^{2} = 36 (x - 2)

in the standard form:

4 \cdot 9 (x - 2) = (y - 6)^{2}

(h, k) = (2, 6), 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

(2, 6)

x-coordinate

x = 2 - p

x = 2 - 9

Refine

x = - 7

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

y = x + x^{2}

4 x - 11 y^{2} = 0

+ (y - 2) = 3 (x - 5)^{2}

x^{2} = 16 (y - 9)