en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Geometry >

foci X^2-5X-24

Solution

foci

Solution

(\frac{5}{2}, - 30)

Solution steps

Rewrite

y = X^{2} - 5 X - 24

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{121}{4})) = (X - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, - \frac{121}{4}), p = \frac{1}{4}

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(\frac{5}{2}, - \frac{121}{4})

along the y-axis

(\frac{5}{2}, - \frac{121}{4} + p)

= (\frac{5}{2}, - \frac{121}{4} + \frac{1}{4})

Refine

(\frac{5}{2}, - 30)

Graph

Popular Examples

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

foci (x-102.05)(498.625-x)/(0.1249)

foci 2250(0.015-0.001x)^2+6000x

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

directrix (x-2)=3(y-5)^2

Frequently Asked Questions (FAQ)

What is the foci X^2-5X-24 ?
The foci X^2-5X-24 is (5/2 ,-30)