What is the directrix y^2=-14x ?

The directrix y^2=-14x is x= 7/2

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directrix y^2=-14x

directrix

y^{2} = - 14 x

x = \frac{7}{2}

Solution steps

Rewrite

y^{2} = - 14 x

in the standard form:

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

(h, k) = (0, 0), p = - \frac{7}{2}

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}{2})

Refine

x = \frac{7}{2}

16 x^{2} + y^{2} = 16

\frac{y ^{2}}{9} - \frac{x ^{2}}{16} = 1

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = 1

\frac{x ^{2}}{36} - \frac{y ^{2}}{64} = 1

x^{2} = - 6 y