What is ((y-6)^2)/9-(x-6)^2=1 ?

The solution to ((y-6)^2)/9-(x-6)^2=1 is Hyperbola with (h,k)=(6,6),a=3,b=1

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((y-6)^2)/9-(x-6)^2=1

\frac{( y - 6 ) ^{2}}{9} - (x - 6)^{2} = 1

(h, k) = (6, 6), a = 3, b = 1

Solution steps

\frac{( y - 6 ) ^{2}}{9} - (x - 6)^{2} = 1

Rewrite

\frac{( y - 6 ) ^{2}}{9} - (x - 6)^{2} = 1

in the form of a standard hyperbola equation

\frac{( y - 6 ) ^{2}}{3 ^{2}} - \frac{( x - 6 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (6, 6), a = 3, b = 1

\frac{( x + 2 ) ^{2}}{16} - \frac{y ^{2}}{9} = 1

\frac{( x - 2 ) ^{2}}{16} - \frac{( y + 3 ) ^{2}}{1} = 1

(- \frac{p}{( 2 - q )}) (- \frac{( p - 1 )}{q}) = - 1

2 x^{2} - 2 y^{2} - 20 x + 8 y + 34 = 0

y^{2} - 16 x^{2} + 64 x - 200 = 0

What is ((y-6)^2)/9-(x-6)^2=1 ?
The solution to ((y-6)^2)/9-(x-6)^2=1 is Hyperbola with (h,k)=(6,6),a=3,b=1