What is the directrix-2x^2 ?

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directrix-2x^2

directrix

y = \frac{1}{8}

Solution steps

Rewrite

y = - 2 x^{2}

in the standard form:

4 (- \frac{1}{8}) (y - 0) = (x - 0)^{2}

(h, k) = (0, 0), p = - \frac{1}{8}

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}{8})

Refine

y = \frac{1}{8}