en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Geometry >

foci 40x-5x^2

Solution

foci

Solution

(4, \frac{1599}{20})

Solution steps

Rewrite

y = 40 x - 5 x^{2}

in the standard form

4 (- \frac{1}{20}) (y - 80) = (x - 4)^{2}

(h, k) = (4, 80), p = - \frac{1}{20}

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

p

from the center

(4, 80)

along the y-axis

(4, 80 + p)

= (4, 80 + (- \frac{1}{20}))

Refine

(4, \frac{1599}{20})

Graph

Popular Examples

foci x=-3/8 (y-2)^2-1

foci y=p(x-h)^2+k

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

Frequently Asked Questions (FAQ)

What is the foci 40x-5x^2 ?
The foci 40x-5x^2 is (4, 1599/20)