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

The solution to -4x^2+y^2=4 is Hyperbola with (h,k)=(0,0),a=2,b=1

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-4x^2+y^2=4

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

(h, k) = (0, 0), a = 2, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 1

\frac{( x - 5 ) ^{2}}{25} - \frac{( y - 5 ) ^{2}}{16} = 1

2 x^{2} - 2 y^{2} - 2 x + 4 y = \frac{1}{2}

x^{2} - x - 4 y^{2} + 24 y - 35 = 0

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

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

What is -4x^2+y^2=4 ?
The solution to -4x^2+y^2=4 is Hyperbola with (h,k)=(0,0),a=2,b=1