What is the directrix x^2-10 ?

The directrix x^2-10 is y=-41/4

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directrix x^2-10

directrix

x^{2} - 10

y = - \frac{41}{4}

Solution steps

Rewrite

y = x^{2} - 10

in the standard form:

4 \cdot \frac{1}{4} (y - (- 10)) = (x - 0)^{2}

(h, k) = (0, - 10), 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, - 10)

y-coordinate

y = - 10 - p

y = - 10 - \frac{1}{4}

Refine

y = - \frac{41}{4}

y^{2} + 36 x = 0

(y - 3)^{2} = - 2 (x + 2)

y = (x + 314)^{2}

y = x^{2} - 13 x + 40

(x + 2)^{2} = - 8 (y - 1)