What is the directrix x^2-6x-28y=-93 ?

The directrix x^2-6x-28y=-93 is y=-4

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directrix x^2-6x-28y=-93

directrix

x^{2} - 6 x - 28 y = - 93

y = - 4

Solution steps

Rewrite

x^{2} - 6 x - 28 y = - 93

in the standard form

4 \cdot 7 (y - 3) = (x - 3)^{2}

(h, k) = (3, 3), p = 7

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(3, 3)

y-coordinate

y = 3 - p

y = 3 - 7

Refine

y = - 4

x^{2} + 17 x + 16

y = (x + 1) (x + 2)

y = x^{2} + x + 1

y = x^{2} + x + 3

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