What is the directrix 4x-11y^2=0 ?

The directrix 4x-11y^2=0 is x=-1/11

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directrix 4x-11y^2=0

directrix

4 x - 11 y^{2} = 0

x = - \frac{1}{11}

Solution steps

Rewrite

4 x - 11 y^{2} = 0

in the standard form:

4 \cdot \frac{1}{11} (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = \frac{1}{11}

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

(0, 0)

x-coordinate

x = 0 - p

x = 0 - \frac{1}{11}

Refine

x = - \frac{1}{11}

+ (y - 2) = 3 (x - 5)^{2}

x^{2} = 16 (y - 9)

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

x = (y + 3)^{2}

13 + 4 x - x^{2}