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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{y ^{2}}{25} - \frac{x ^{2}}{81} = 1

4 x^{2} - 8 y^{2} + 10 x - 6 y - 8 = 0

x^{2} - y^{2} - 25 = 0

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

\frac{x ^{2}}{4} - \frac{y ^{2}}{12} = 1

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