What is the asymptotes of ((y-2)^2)/9-((x-2)^2)/4 =1 ?

The asymptotes of ((y-2)^2)/9-((x-2)^2)/4 =1 is y= 3/2 (x-2)+2,\quad y=-3/2 (x-2)+2

Popular >

asymptotes of ((y-2)^2)/9-((x-2)^2)/4 =1

asymptotes

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

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

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (2, 2), a = 3, b = 2

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

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

\frac{x ^{2}}{9} - \frac{y ^{2}}{64} = 1

x^{2} - 5 y^{2} = 7

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

\frac{x ^{2}}{4} - \frac{y ^{2}}{49} = 1

What is the asymptotes of ((y-2)^2)/9-((x-2)^2)/4 =1 ?
The asymptotes of ((y-2)^2)/9-((x-2)^2)/4 =1 is y= 3/2 (x-2)+2,\quad y=-3/2 (x-2)+2