What is the directrix y-7= 1/24 (x+4)^2 ?

The directrix y-7= 1/24 (x+4)^2 is y=1

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directrix y-7= 1/24 (x+4)^2

directrix

y - 7 = \frac{1}{24} (x + 4)^{2}

y = 1

Solution steps

Rewrite

y - 7 = \frac{1}{24} (x + 4)^{2}

in the standard form:

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

(h, k) = (- 4, 7), p = 6

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

(- 4, 7)

y-coordinate

y = 7 - p

y = 7 - 6

Refine

y = 1

4 x^{2} - 24 x - 30

- y^{2} = 6 y + x

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

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

(x - 5)^{2} - 1

What is the directrix y-7= 1/24 (x+4)^2 ?
The directrix y-7= 1/24 (x+4)^2 is y=1