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

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

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

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

(h, k) = (0, 1), a = 2, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 1 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 1), a = 2, b = 2

x^{2} - y^{2} + 6 x - 4 y - 4 = 0

\frac{y ^{2}}{16} - \frac{x ^{2}}{36} = 1

16 x^{2} - 9 y^{2} - 96 x + 288 = 0

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

24 x^{2} - 9 y^{2} = 216

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