What is (x^2)/9-((y-9)^2)/(16)=1 ?

The solution to (x^2)/9-((y-9)^2)/(16)=1 is Hyperbola with (h,k)=(0,9),a=3,b=4

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(x^2)/9-((y-9)^2)/(16)=1

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

(h, k) = (0, 9), a = 3, b = 4

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 9 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 9), a = 3, b = 4

4 x^{2} - 8 x - 3 y^{2} - 8 = 0

- 4 x^{2} + 9 y^{2} = - 9

(x - 0)^{2} - (y - 4)^{2} = 1

(x - 0)^{2} - (y - 4)^{2} = 2

\frac{( y - 4 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{36} = 1

What is (x^2)/9-((y-9)^2)/(16)=1 ?
The solution to (x^2)/9-((y-9)^2)/(16)=1 is Hyperbola with (h,k)=(0,9),a=3,b=4