What is the asymptotes of x^2-y^2+2y=2 ?

The asymptotes of x^2-y^2+2y=2 is y=x+1,\quad y=-x+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of x^2-y^2+2y=2

asymptotes

x^{2} - y^{2} + 2 y = 2

y = x + 1, y = - x + 1

Solution steps

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

x^{2} - y^{2} + 2 y = 2 :

Right-left Hyperbola with

(h, k) = (0, 1), a = 1, b = 1

y = \frac{1}{1} (x - 0) + 1, y = - \frac{1}{1} (x - 0) + 1

Refine

y = x + 1, y = - x + 1

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

4 x^{2} - 9 y^{2} = 144

\frac{( x + 2 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{9} = 1

4 x^{2} - 25 y^{2} + 100 y = 200

(y)^{2} - (\frac{x + 1}{2})^{2} = 1

What is the asymptotes of x^2-y^2+2y=2 ?
The asymptotes of x^2-y^2+2y=2 is y=x+1,\quad y=-x+1