What is the directrix y^2=24x ?

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directrix y^2=24x

directrix

y^{2} = 24 x

x = - 6

Solution steps

Rewrite

y^{2} = 24 x

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 = - \frac{( x + 3 ) ^{2}}{20} + 1

x^{2} - 6 x + 10

y = 4 x^{2} + 2 x + 4

y = 2 x^{2} - 3 x

2 x^{2} - 2