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} - 1 = y^{2}

- 9 x^{2} + 16 y^{2} - 36 x - 160 y + 220 = 0

9 y^{2} - 16 x^{2} - 54 y - 32 x - 79 = 0

\frac{40}{x + y} + \frac{2}{x - y} = 5

\frac{( y - 5 ) ^{2}}{15} - \frac{( x + 4 ) ^{2}}{49} = 1

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