What is the directrix y^2=-7x ?

The directrix y^2=-7x is x= 7/4

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directrix y^2=-7x

directrix

y^{2} = - 7 x

x = \frac{7}{4}

Solution steps

Rewrite

y^{2} = - 7 x

in the standard form:

4 (- \frac{7}{4}) (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = - \frac{7}{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

(0, 0)

x-coordinate

x = 0 - p

x = 0 - (- \frac{7}{4})

Refine

x = \frac{7}{4}

x = y^{2} - 4

y = x^{2} + 5 x - 14

(x + 1)^{2} = - 3 (y - 6)

- 3 (x - 1)^{2}

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