What is ((y-3)^2)/9-x^2=1 ?

The solution to ((y-3)^2)/9-x^2=1 is Hyperbola with (h,k)=(0,3),a=3,b=1

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((y-3)^2)/9-x^2=1

\frac{( y - 3 ) ^{2}}{9} - x^{2} = 1

(h, k) = (0, 3), a = 3, b = 1

Solution steps

\frac{( y - 3 ) ^{2}}{9} - x^{2} = 1

Rewrite

\frac{( y - 3 ) ^{2}}{9} - x^{2} = 1

in the form of a standard hyperbola equation

\frac{( y - 3 ) ^{2}}{3 ^{2}} - \frac{( x - 0 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 3), a = 3, b = 1

4 x^{2} - y^{2} + 8 x + 4 y = 15

y^{2} - 2 y = x^{2} - x - 1

\frac{( x - 5 ) ^{2}}{25} - \frac{( y + 2 ) ^{2}}{16} = 1

2 x^{2} - 2 y^{2} = 12

\frac{x ^{2}}{9} - \frac{y ^{2}}{14} = 1

What is ((y-3)^2)/9-x^2=1 ?
The solution to ((y-3)^2)/9-x^2=1 is Hyperbola with (h,k)=(0,3),a=3,b=1