What is the directrix x=7y^2 ?

The directrix x=7y^2 is x=-1/28

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directrix x=7y^2

directrix

x = 7 y^{2}

x = - \frac{1}{28}

Solution steps

Rewrite

x = 7 y^{2}

in the standard form:

4 \cdot \frac{1}{28} (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = \frac{1}{28}

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}{28}

Refine

x = - \frac{1}{28}

y = 7 x^{2} - 9 x - 5

y = 3 x^{2} - 5 x 7

x^{2} - 4 x + 8

2 x^{2} + 16 y = 0

y = 6 x^{2} - 29 x - 5