What is the directrix y=6x^2 ?

The directrix y=6x^2 is y=-1/24

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directrix y=6x^2

directrix

y = 6 x^{2}

y = - \frac{1}{24}

Solution steps

Rewrite

y = 6 x^{2}

in the standard form:

4 \cdot \frac{1}{24} (y - 0) = (x - 0)^{2}

(h, k) = (0, 0), p = \frac{1}{24}

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}{24}

Refine

y = - \frac{1}{24}

y = (x + 4)^{2} + 1

- \frac{1}{20} y^{2}

y = x^{2} - 4 x + 3

(x - 2)^{2} = 8 (y - 1)

- x^{2} + 6 x - 9