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Popular Geometry >

foci x^2-2x-24

Solution

foci

Solution

(1, - \frac{99}{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 focus lies a distance

p

from the center

(1, - 25)

along the y-axis

(1, - 25 + p)

= (1, - 25 + \frac{1}{4})

Refine

(1, - \frac{99}{4})

Graph

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directrix (y-3)^2=-12x

Frequently Asked Questions (FAQ)

What is the foci x^2-2x-24 ?
The foci x^2-2x-24 is (1,-99/4)