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

The solution to ((y-1)^2)/9-((x-1)^2)/4 =1 is Hyperbola with (h,k)=(1,1),a=3,b=2

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

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

(h, k) = (1, 1), a = 3, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 1 ) ^{2}}{3 ^{2}} - \frac{( x - 1 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 1), a = 3, b = 2

36 x^{2} - 9 y^{2} - 324 = 0

x^{2} - y^{2} + 4 x = 0

x^{2} + 42 x + 441 = 72 y + y^{2}

\frac{( x - 5 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{25} = 1

x, h (x)^{2} = (5)^{2} + (12)^{2} + (x)^{2}

What is ((y-1)^2)/9-((x-1)^2)/4 =1 ?
The solution to ((y-1)^2)/9-((x-1)^2)/4 =1 is Hyperbola with (h,k)=(1,1),a=3,b=2