What is the directrix y=2250(0.015-0.001x)^2+6000x ?

The directrix y=2250(0.015-0.001x)^2+6000x is y=-111.11111…

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directrix y=2250(0.015-0.001x)^2+6000x

directrix

y = 2250 (0.015 - 0.001 x)^{2} + 6000 x

y = - 111.11111 \dots

Solution steps

Rewrite

y = 2250 (0.015 - 0.001 x)^{2} + 6000 x

in the standard form

4 \cdot 111.11111 \dots (y - 0) = (x - (- \frac{5999.9325}{0.0045}))^{2}

(h, k) = (- \frac{5999.9325}{0.0045}, 0), p = 111.11111 \dots

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

(- \frac{5999.9325}{0.0045}, 0)

y-coordinate

y = 0 - p

y = 0 - 111.11111 \dots

Refine

y = - 111.11111 \dots

2 x^{2}

y = 12 x^{2} - 72 x + 77

4 - x - x^{2}

y = - 7 (x - 8)^{2} + 6

y = x^{2} - 9 x + 20

What is the directrix y=2250(0.015-0.001x)^2+6000x ?
The directrix y=2250(0.015-0.001x)^2+6000x is y=-111.11111…