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

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

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(x+3)^2-(y+2)^2=9

(x + 3)^{2} - (y + 2)^{2} = 9

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

Solution steps

(x + 3)^{2} - (y + 2)^{2} = 9

Rewrite

(x + 3)^{2} - (y + 2)^{2} = 9

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

5 (y + 3)^{2} - 4 (x - 1)^{2} = 20

\frac{( x - 3 ) ^{2}}{6} - \frac{( y - 1 ) ^{2}}{12} = 1

\frac{( y - 1 ) ^{2}}{36} - \frac{( x - 2 ) ^{2}}{64} = 1

- x^{2} + 4 y^{2} - 16 y + 12 = 0

\frac{( x - 3 ) ^{2}}{25} - \frac{( y - 2 ) ^{2}}{40} = 1

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