What is the directrix y=-12x^2-29x+230 ?

The directrix y=-12x^2-29x+230 is y= 5941/24

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directrix y=-12x^2-29x+230

directrix

y = - 12 x^{2} - 29 x + 230

y = \frac{5941}{24}

Solution steps

Rewrite

y = - 12 x^{2} - 29 x + 230

in the standard form

4 (- \frac{1}{48}) (y - \frac{11881}{48}) = (x - (- \frac{29}{24}))^{2}

(h, k) = (- \frac{29}{24}, \frac{11881}{48}), p = - \frac{1}{48}

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{29}{24}, \frac{11881}{48})

y-coordinate

y = \frac{11881}{48} - p

y = \frac{11881}{48} - (- \frac{1}{48})

Refine

y = \frac{5941}{24}

y = x^{2} - 5 x 3

y = (x - \frac{24}{x + 2}) (x - \frac{12}{x - 4})

x = (y + 1) y

(x - 9)^{2} - 6

x^{2} - 16 y = 0

What is the directrix y=-12x^2-29x+230 ?
The directrix y=-12x^2-29x+230 is y= 5941/24