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

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

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directrix y=x^2-10000x-24000000

directrix

y = 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}

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

y^{2} - 8 x - 4 y - 20 = 0

y = - \frac{1}{2} x^{2} - 2 x + 6

y^{2} - 2 y - 8 x - 39 = 0

(x - 3)^{2} = y - 7

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