What is the directrix y^2+6y+8x+25=0 ?

The directrix y^2+6y+8x+25=0 is x=0

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directrix y^2+6y+8x+25=0

directrix

y^{2} + 6 y + 8 x + 25 = 0

x = 0

Solution steps

Rewrite

y^{2} + 6 y + 8 x + 25 = 0

in the standard form

4 (- 2) (x - (- 2)) = (y - (- 3))^{2}

(h, k) = (- 2, - 3), p = - 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

(- 2, - 3)

x-coordinate

x = - 2 - p

x = - 2 - (- 2)

Refine

x = 0

y = x^{2} + 2 x + 3

y = x^{2} + 2 x + 4

y = 5 x^{2}

3 x^{2} - x + 5

x^{2} + 6 y = 0