What is 4x^2-y^2-2y=2 ?

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

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4x^2-y^2-2y=2

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

(h, k) = (0, - 1), a = \frac{1}{2}, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, - 1), a = \frac{1}{2}, b = 1

[f (x)]^{2} = 4 x^{2} - x + 4

\frac{x ^{2}}{81} - \frac{y ^{2}}{144} = 1

x^{2} - y^{2} - 11 = 5

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

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

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