What is the directrix-0.03x^2+45x+124.5 ?

The directrix-0.03x^2+45x+124.5 is y=17007.83333…

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directrix-0.03x^2+45x+124.5

directrix

- 0.03 x^{2} + 45 x + 124.5

y = 17007.83333 \dots

Solution steps

Rewrite

y = - 0.03 x^{2} + 45 x + 124.5

in the standard form

4 (- 8.33333 \dots) (y - 16999.5) = (x - 750)^{2}

(h, k) = (750, 16999.5), p = - 8.33333 \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

(750, 16999.5)

y-coordinate

y = 16999.5 - p

y = 16999.5 - (- 8.33333 \dots)

Refine

y = 17007.83333 \dots

- x^{2} - 4 x

4 y^{2} - 12 y + 56 x + 177 = 0

3 x^{2} + 19 x - 40

(y - 10)^{2} = - 12 (x + 2)

x^{2} + 4 x - 8 y + 12 = 0

What is the directrix-0.03x^2+45x+124.5 ?
The directrix-0.03x^2+45x+124.5 is y=17007.83333…