What is the directrix x^2-y=0 ?

The directrix x^2-y=0 is y=-1/4

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directrix x^2-y=0

directrix

x^{2} - y = 0

y = - \frac{1}{4}

Solution steps

Rewrite

x^{2} - y = 0

in the standard form:

4 \cdot \frac{1}{4} (y - 0) = (x - 0)^{2}

(h, k) = (0, 0), p = \frac{1}{4}

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

(0, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{4}

Refine

y = - \frac{1}{4}

- 4 (y - 10) = (x - 6)^{2}

4 - 7 x^{2}

3 x^{2} - x - 4

y = x^{2} - 10 x - 4

y = - 3 x^{2}