What is the directrix 1/24 y^2 ?

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directrix 1/24 y^2

directrix

\frac{1}{24} y^{2}

x = - 6

Solution steps

Rewrite

x = \frac{1}{24} y^{2}

in the standard form:

4 \cdot 6 (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = 6

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

(0, 0)

x-coordinate

x = 0 - p

x = 0 - 6

Refine

x = - 6

y = 25 x^{2} - 70 x + 36

- 3 x^{2} + 5 x

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

y = 2 x^{2} + 3 π

x = (2 y - 1) (5 y - 6)