What is the directrix y=x^2-10x-4 ?

The directrix y=x^2-10x-4 is y=-117/4

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directrix y=x^2-10x-4

directrix

y = x^{2} - 10 x - 4

y = - \frac{117}{4}

Solution steps

Rewrite

y = x^{2} - 10 x - 4

in the standard form

4 \cdot \frac{1}{4} (y - (- 29)) = (x - 5)^{2}

(h, k) = (5, - 29), 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

(5, - 29)

y-coordinate

y = - 29 - p

y = - 29 - \frac{1}{4}

Refine

y = - \frac{117}{4}

y = - 3 x^{2}

y = 3.1 + 6.6 x - 2.3 x^{2}

y = 3 x^{2} 4

- 7 x^{2}

x^{2} - x - 2