What is y^2-x^2-2x-3=0 ?

The solution to y^2-x^2-2x-3=0 is Hyperbola with (h,k)=(-1,0),a=sqrt(2),b=sqrt(2)

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y^2-x^2-2x-3=0

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

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

Solution steps

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

Rewrite

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

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

yy = x^{2} - 2 x

36 x^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

4 x^{2} - 5 y^{2} + 8 x - 10 y + 19 = 0

16 y^{2} - 9 x^{2} - 112 y + 36 x + 124 = 0

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

What is y^2-x^2-2x-3=0 ?
The solution to y^2-x^2-2x-3=0 is Hyperbola with (h,k)=(-1,0),a=sqrt(2),b=sqrt(2)