What is the directrix x=-1/20 (y+6)^2-7 ?

The directrix x=-1/20 (y+6)^2-7 is x=-2

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directrix x=-1/20 (y+6)^2-7

directrix

x = - \frac{1}{20} (y + 6)^{2} - 7

x = - 2

Solution steps

Rewrite

x = - \frac{1}{20} (y + 6)^{2} - 7

in the standard form:

4 (- 5) (x - (- 7)) = (y - (- 6))^{2}

(h, k) = (- 7, - 6), p = - 5

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

(- 7, - 6)

x-coordinate

x = - 7 - p

x = - 7 - (- 5)

Refine

x = - 2

\frac{y ^{2} + 12 y + 36}{60}

(x - 5)^{2} - 1

- 2 x^{2} + 4 x - 2

- x^{2} + 150 x - 2000

(x 2 + 1)^{2}

What is the directrix x=-1/20 (y+6)^2-7 ?
The directrix x=-1/20 (y+6)^2-7 is x=-2