What is x^2=2(y^2-0.01) ?

The solution to x^2=2(y^2-0.01) is Hyperbola with (h,k)=(0,0),a=0.1,b=0.14142…

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x^2=2(y^2-0.01)

x^{2} = 2 (y^{2} - 0.01)

(h, k) = (0, 0), a = 0.1, b = 0.14142 \dots

Solution steps

x^{2} = 2 (y^{2} - 0.01)

Rewrite

x^{2} - 2 (y^{2} - 0.01) = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{0. 1 ^{2}} - \frac{( x - 0 ) ^{2}}{0.14142 \dots ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 0.1, b = 0.14142 \dots

x^{2} - 2 x - 4 y^{2} + 24 y - 31 = 0

9 x^{2} - 4 y^{2} + 36 = 0

- x^{2} + y^{2} - 6 = 3

x^{2} + 12 x - y^{2} + 10 y = 12

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

What is x^2=2(y^2-0.01) ?
The solution to x^2=2(y^2-0.01) is Hyperbola with (h,k)=(0,0),a=0.1,b=0.14142…