What is the directrix (x-7)^2=-12(y-1) ?

The directrix (x-7)^2=-12(y-1) is y=4

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directrix (x-7)^2=-12(y-1)

directrix

y = 4

Solution steps

Rewrite

(x - 7)^{2} = - 12 (y - 1)

in the standard form:

4 (- 3) (y - 1) = (x - 7)^{2}

(h, k) = (7, 1), p = - 3

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(7, 1)

y-coordinate

y = 1 - p

y = 1 - (- 3)

Refine

y = 4