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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 9 y^{2} + 8 x + 72 y - 203 = 0

\frac{27 x ^{2}}{4} - 9 y^{2} - 54 x - 18 y + \frac{225}{4} = 0

9 y^{2} - 16 x^{2} - 90 y - 128 x - 175 = 0

x^{2} - 1 y^{2} = 88

\frac{x ^{2}}{64} - \frac{y ^{2}}{49} = 1

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