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

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

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

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

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

Solution steps

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

Rewrite

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

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

9 x^{2} - 4 y^{2} - 54 x + 17 y - 20 = 0

\frac{x ^{2}}{729} - \frac{y ^{2}}{484} = 1

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

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

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