What is the directrix 0.8x^2+500x-25000 ?

The directrix 0.8x^2+500x-25000 is y=-103125.3125

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directrix 0.8x^2+500x-25000

directrix

0.8 x^{2} + 500 x - 25000

y = - 103125.3125

Solution steps

Rewrite

y = 0.8 x^{2} + 500 x - 25000

in the standard form

4 \cdot 0.3125 (y - (- 103125)) = (x - (- 312.5))^{2}

(h, k) = (- 312.5, - 103125), p = 0.3125

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

(- 312.5, - 103125)

y-coordinate

y = - 103125 - p

y = - 103125 - 0.3125

Refine

y = - 103125.3125

9 x^{2}

(- x - 1) (x + 3)

+ 12 x^{2} - 14 x

y^{2} = 12 (x - 4)

2 x^{2} - 4 x - 9

What is the directrix 0.8x^2+500x-25000 ?
The directrix 0.8x^2+500x-25000 is y=-103125.3125