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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

2 x^{2} - 9 y^{2} + 4 x - 36 y - 16 = 0

(x + 5)^{2} - (y - 3)^{2} = 16

25 x^{2} - 49 y^{2} - 100 x + 294 y + 884 = 0

x^{2} - 2 x - y^{2} - 6 y + 9 = 0

\frac{y ^{2}}{36} - \frac{x ^{2}}{64} = 1

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