What is the foci (x+3/5)(x-2/5) ?

The foci (x+3/5)(x-2/5) is (-1/10 ,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

foci (x+3/5)(x-2/5)

foci

(x + \frac{3}{5}) (x - \frac{2}{5})

(- \frac{1}{10}, 0)

Solution steps

Rewrite

y = (x + \frac{3}{5}) (x - \frac{2}{5})

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{1}{4})) = (x - (- \frac{1}{10}))^{2}

(h, k) = (- \frac{1}{10}, - \frac{1}{4}), p = \frac{1}{4}

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

p

from the center

(- \frac{1}{10}, - \frac{1}{4})

along the y-axis

(- \frac{1}{10}, - \frac{1}{4} + p)

= (- \frac{1}{10}, - \frac{1}{4} + \frac{1}{4})

Refine

(- \frac{1}{10}, 0)

+ \frac{y ^{3} - 100 y}{y + 10}

x^{2} - 10 x - 24 y = - 25 - 24

x^{2} = 8 (y - 2)

x^{2} - 2 x + 5

(y - 2)^{2} = 8 (x - 5)