What is the directrix x=(y+1)y ?

The directrix x=(y+1)y is x=-1/2

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directrix x=(y+1)y

directrix

x = (y + 1) y

x = - \frac{1}{2}

Solution steps

Rewrite

x = (y + 1) y

in the standard form

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

(h, k) = (- \frac{1}{4}, - \frac{1}{2}), p = \frac{1}{4}

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(- \frac{1}{4}, - \frac{1}{2})

x-coordinate

x = - \frac{1}{4} - p

x = - \frac{1}{4} - \frac{1}{4}

Refine

x = - \frac{1}{2}

(x - 9)^{2} - 6

x^{2} - 16 y = 0

0.8 x^{2} + 500 x - 25000

9 x^{2}

(- x - 1) (x + 3)