What is the asymptotes of ((y+2)^2)/(36)-x^2=1 ?

The asymptotes of ((y+2)^2)/(36)-x^2=1 is y=6x-2,\quad y=-6x-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of ((y+2)^2)/(36)-x^2=1

asymptotes

\frac{( y + 2 ) ^{2}}{36} - x^{2} = 1

y = 6 x - 2, y = - 6 x - 2

Solution steps

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

Calculate Hyperbola properties

\frac{( y + 2 ) ^{2}}{36} - x^{2} = 1 :

Up-down Hyperbola with

(h, k) = (0, - 2), a = 6, b = 1

y = \frac{6}{1} (x - 0) + (- 2), y = - \frac{6}{1} (x - 0) + (- 2)

Refine

y = 6 x - 2, y = - 6 x - 2

0 = - \frac{400}{9} x^{2} + 16 y^{2} + 400

\frac{x ^{2}}{16} - \frac{y ^{2}}{25} = 1

9 x^{2} - 18 x - 16 y^{2} - 64 y = 199

\frac{x ^{2}}{4} - \frac{y ^{2}}{5} = 1

x^{2} - y^{2} + 4 x - 6 y = 6

What is the asymptotes of ((y+2)^2)/(36)-x^2=1 ?
The asymptotes of ((y+2)^2)/(36)-x^2=1 is y=6x-2,\quad y=-6x-2