What is the directrix 11x^2-8 ?

The directrix 11x^2-8 is y=-353/44

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directrix 11x^2-8

directrix

11 x^{2} - 8

y = - \frac{353}{44}

Solution steps

Rewrite

y = 11 x^{2} - 8

in the standard form:

4 \cdot \frac{1}{44} (y - (- 8)) = (x - 0)^{2}

(h, k) = (0, - 8), p = \frac{1}{44}

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, - 8)

y-coordinate

y = - 8 - p

y = - 8 - \frac{1}{44}

Refine

y = - \frac{353}{44}

y = 7 x^{2} + 5

x^{2} + 3 x + 4

y^{2} = - x

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

y = - 12 x^{2} - 29 x + 230