What is x^2-y^2-2x-4y-4=0 ?

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

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x^2-y^2-2x-4y-4=0

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 y^{2} - 4 x^{2} - 54 y - 8 x + 41 = 0

(x - 2)^{2} - \frac{( y - 1 ) ^{2}}{4} = 11

8 x^{2} - 15 y^{2} - 120 = 0

x^{2} - y^{2} - 2 x - 10 y - 29 = 0

9 (y + 3)^{2} - 1 (x + 2)^{2} = 15

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