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

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

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x^2=-2y+y^2

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

8 y^{2} - x^{2} - 16 y + 8 x - 32 = 0

2 x^{2} - y^{2} + 4 x + 2 y - 3 = 0

5 x^{2} - 2 y^{2} = 9

- x^{2} + 2 y^{2} + 28 y + 14 = 0

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

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