What is the directrix x^2-2x-24 ?

The directrix x^2-2x-24 is y=-101/4

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directrix x^2-2x-24

directrix

x^{2} - 2 x - 24

y = - \frac{101}{4}

Solution steps

Rewrite

y = x^{2} - 2 x - 24

in the standard form

4 \cdot \frac{1}{4} (y - (- 25)) = (x - 1)^{2}

(h, k) = (1, - 25), p = \frac{1}{4}

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

(1, - 25)

y-coordinate

y = - 25 - p

y = - 25 - \frac{1}{4}

Refine

y = - \frac{101}{4}

18 x^{2} - 64 x - 14 y + 150 = 0

2 x^{2} + 5 x

y = - \frac{1}{14} x^{2} + 2

2 y^{2} = 16 x

y^{2} + 8 x + 2 y + 33 = 0