What is ((y+5)^2}{81}-\frac{(x+8)^2)/9 =1 ?

The solution to ((y+5)^2}{81}-\frac{(x+8)^2)/9 =1 is Hyperbola with (h,k)=(-8,-5),a=9,b=3

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((y+5)^2}{81}-\frac{(x+8)^2)/9 =1

\frac{( y + 5 ) ^{2}}{81} - \frac{( x + 8 ) ^{2}}{9} = 1

(h, k) = (- 8, - 5), a = 9, b = 3

Solution steps

\frac{( y + 5 ) ^{2}}{81} - \frac{( x + 8 ) ^{2}}{9} = 1

Rewrite

\frac{( y + 5 ) ^{2}}{81} - \frac{( x + 8 ) ^{2}}{9} = 1

in the form of a standard hyperbola equation

\frac{( y - ( - 5 ) ) ^{2}}{9 ^{2}} - \frac{( x - ( - 8 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 8, - 5), a = 9, b = 3

x^{2} - y^{2} - 1 = 3 x - 3 y

3 x^{2} - 3 y^{2} + 2 x + 14 y + 24 = 0

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

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

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

What is ((y+5)^2}{81}-\frac{(x+8)^2)/9 =1 ?
The solution to ((y+5)^2}{81}-\frac{(x+8)^2)/9 =1 is Hyperbola with (h,k)=(-8,-5),a=9,b=3