What is the directrix y^2=4(-4)x ?

The directrix y^2=4(-4)x is x=4

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directrix y^2=4(-4)x

directrix

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

x = 4

Solution steps

Rewrite

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

in the standard form:

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

(h, k) = (0, 0), p = - 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 - (- 4)

Refine

x = 4

(y + 1)^{2} = - 4 (x - 2)

(x - h)^{2} = 4 (- 8) (y - 3)

100 + 6 x^{2} - 8 x

x^{2} - 6 x + 5

- (x + 3)^{2} - 1