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Popular >

y^2=x^2-1

Solution

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

Solution

(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

Popular Examples

vertices 9x^2+16y^2=144 vertices

9 x^{2} + 16 y^{2} = 144

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

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

9x^2+9y^2+18x-18y+14=0

9 x^{2} + 9 y^{2} + 18 x - 18 y + 14 = 0

foci ((y+3)^2)/9-((x-2)^2)/(16)=1 foci

\frac{( y + 3 ) ^{2}}{9} - \frac{( x - 2 ) ^{2}}{16} = 1

4y^2+48x-20y=71

4 y^{2} + 48 x - 20 y = 71

Frequently Asked Questions (FAQ)

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