What is the directrix y^2=28x ?

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directrix y^2=28x

directrix

y^{2} = 28 x

x = - 7

Solution steps

Rewrite

y^{2} = 28 x

in the standard form:

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

(h, k) = (0, 0), p = 7

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 - 7

Refine

x = - 7

\frac{x ^{2}}{64} - \frac{y ^{2}}{9} = 1

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

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

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

36 x^{2} + 288 x + 64 y^{2} - 256 y = 1472