What is the directrix+3x^2 ?

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directrix+3x^2

directrix

+ 3 x^{2}

y = - \frac{1}{12}

Solution steps

Rewrite

y = 3 x^{2}

in the standard form:

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

(h, k) = (0, 0), 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, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{12}

Refine

y = - \frac{1}{12}

(x + 1)^{2} = 12 (y - 3)

5 x - x^{2}

y^{2} - 12 x - 12 y + 84 = 0

4 x^{2} + 10 x - 10

(x - 7)^{2} = - 12 (y - 1)