What is (x-2)^2-(y-1)^2=4 ?

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

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(x-2)^2-(y-1)^2=4

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

4 x^{2} - z^{2} = 1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 10 ) ^{2}}{36} = 1

\frac{( y - 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{9} = 1

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

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