What is the asymptotes of (y^2-x^2)/9 =1 ?

The asymptotes of (y^2-x^2)/9 =1 is y=x,\quad y=-x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of (y^2-x^2)/9 =1

asymptotes

\frac{y ^{2} - x ^{2}}{9} = 1

y = x, y = - x

Solution steps

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

Calculate Hyperbola properties

\frac{y ^{2} - x ^{2}}{9} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 3, b = 3

y = \frac{3}{3} (x - 0) + 0, y = - \frac{3}{3} (x - 0) + 0

Refine

y = x, y = - x

x^{2} - 3 y^{2} - 2 x - 6 y + 7 = 0

16 x^{2} - 9 y^{2} - 96 x + 288 = 0

10 x^{2} - 25 y^{2} = 100

(x - 4)^{2} - (y + 1)^{2} = 25

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36

What is the asymptotes of (y^2-x^2)/9 =1 ?
The asymptotes of (y^2-x^2)/9 =1 is y=x,\quad y=-x