y^2-x^2=-1

Solution

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

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

2 xx - 3 yy = - 1214

3 x^{2} - 6 x - 4 y^{2} = 9

9 x^{2} - 16 y^{2} = 64

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