What is the directrix (x^3)/x ?

The directrix (x^3)/x is y=-1/4

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directrix (x^3)/x

directrix

\frac{x ^{3}}{x}

y = - \frac{1}{4}

Solution steps

Rewrite

y = \frac{x ^{3}}{x}

in the standard form

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

(h, k) = (0, 0), p = \frac{1}{4}

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}{4}

Refine

y = - \frac{1}{4}

x^{2} + 24 y = 0

- 0.0000848 x^{2} - 0.006005 x + 1.004

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

- 2 x^{2} + 4

(x - 2)^{2} = - 4 (y - 2)