What is the directrix x^2-10000x-24000000 ?

The directrix x^2-10000x-24000000 is y=-196000001/4

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directrix x^2-10000x-24000000

directrix

x^{2} - 10000 x - 24000000

y = - \frac{196000001}{4}

Solution steps

Rewrite

y = x^{2} - 10000 x - 24000000

in the standard form

4 \cdot \frac{1}{4} (y - (- 49000000)) = (x - 5000)^{2}

(h, k) = (5000, - 49000000), 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

(5000, - 49000000)

y-coordinate

y = - 49000000 - p

y = - 49000000 - \frac{1}{4}

Refine

y = - \frac{196000001}{4}

y = - 3 x^{2} - 12 x - 17

3 x - 3 x^{2}

y = 2 x^{2} - 12 x - 5

y^{2} = 36 x

- \frac{1}{2} x^{2} + 5 x - 2

What is the directrix x^2-10000x-24000000 ?
The directrix x^2-10000x-24000000 is y=-196000001/4