What is the directrix-3x^2+75 ?

The directrix-3x^2+75 is y= 901/12

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directrix-3x^2+75

directrix

- 3 x^{2} + 75

y = \frac{901}{12}

Solution steps

Rewrite

y = - 3 x^{2} + 75

in the standard form:

4 (- \frac{1}{12}) (y - 75) = (x - 0)^{2}

(h, k) = (0, 75), p = - \frac{1}{12}

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

(0, 75)

y-coordinate

y = 75 - p

y = 75 - (- \frac{1}{12})

Refine

y = \frac{901}{12}

y = \frac{95 x ^{2} - 10 x + 26}{10}

y = 64 x^{2}

x^{2} + 2 x - 1 - (2 x^{2} - 3 x + 6)

\frac{1}{8} x^{2}

x^{2} + 8 x - 4 y - 36 = 0