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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

6 y^{2} - x^{2} + 3 = 0

\frac{y ^{2}}{25} - \frac{x ^{2}}{36} = 1

y^{2} = 4 x^{2} + 25

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

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