What is y=(x^2-y^2) ?

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

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y=(x^2-y^2)

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 24 x - 36 y^{2} - 360 y + 864 = 0

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

y^{2} = 2 x^{2} + 8

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

- 36 y^{2} + 100 x^{2} - 1600 = 0

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