What is the directrix (x+6)^2=-20(y-5) ?

The directrix (x+6)^2=-20(y-5) is y=10

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directrix (x+6)^2=-20(y-5)

directrix

(x + 6)^{2} = - 20 (y - 5)

y = 10

Solution steps

Rewrite

(x + 6)^{2} = - 20 (y - 5)

in the standard form:

4 (- 5) (y - 5) = (x - (- 6))^{2}

(h, k) = (- 6, 5), p = - 5

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

(- 6, 5)

y-coordinate

y = 5 - p

y = 5 - (- 5)

Refine

y = 10

\frac{x ^{3}}{x}

x^{2} + 24 y = 0

- 0.0000848 x^{2} - 0.006005 x + 1.004

y = x^{2} - 3 x - 4

- 2 x^{2} + 4