What is the directrix y^2=-25x ?

The directrix y^2=-25x is x= 25/4

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directrix y^2=-25x

directrix

y^{2} = - 25 x

x = \frac{25}{4}

Solution steps

Rewrite

y^{2} = - 25 x

in the standard form:

4 (- \frac{25}{4}) (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = - \frac{25}{4}

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 - (- \frac{25}{4})

Refine

x = \frac{25}{4}

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = 1

\frac{x ^{2}}{25} + \frac{y ^{2}}{4} = 1

x^{2} + y^{2} + 8 x + 4 y - 3 = 40

y^{2} = - x

(x - 2)^{2} + (y - 2)^{2} = 4