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

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

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

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

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

Solution steps

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

Therefore Hyperbola properties are:

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

y^{2} = x^{2} + 25

y^{2} = x^{2} + 49

x^{2} - 4 x - 4 y^{2} - 8 y - 16 = 0

25 x^{2} - 16 y^{2} + 300 x + 64 y + 436 = 0

\frac{4 ( y - 1 ) ^{2}}{9} - \frac{4 ( x - 3 ) ^{2}}{27} = 1

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