What is the directrix y^2=20x ?

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directrix y^2=20x

directrix

y^{2} = 20 x

x = - 5

Solution steps

Rewrite

y^{2} = 20 x

in the standard form:

4 \cdot 5 (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = 5

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 - 5

Refine

x = - 5

x^{2} + y^{2} + 4 x - 18 y + 81 = 0

x^{2} = 20 y

y^{2} = 16 x

y^{2} = - 24 x

9 x^{2} - 16 y^{2} + 36 x + 32 y - 124 = 0