What is -y^2=4-2x^2 ?

The solution to -y^2=4-2x^2 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=2

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-y^2=4-2x^2

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

(h, k) = (0, 0), a = 2, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 2

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

9 - x^{2} + y^{2} > 0

- 2 x^{2} + 8 y^{2} - 8 x - 16 y = 30

4 y^{2} - 9 x^{2} + 16 y + 18 x - 29 = 0

4 x^{2} - y^{2} - 24 x - 8 y = 44

What is -y^2=4-2x^2 ?
The solution to -y^2=4-2x^2 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=2