What is (x^2)/4-(y^2)/9 =-1 ?

The solution to (x^2)/4-(y^2)/9 =-1 is Hyperbola with (h,k)=(0,0),a=3,b=2

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(x^2)/4-(y^2)/9 =-1

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = - 1

(h, k) = (0, 0), a = 3, b = 2

Solution steps

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = - 1

Rewrite

\frac{x ^{2}}{4} - \frac{y ^{2}}{9} = - 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{3 ^{2}} - \frac{( x - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 2

2 y^{2} - 3 x^{2} - 4 y + 12 x + 8 = 0

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

y^{2} = x^{2} + 144

\frac{x ^{2}}{4} - \frac{3 y ^{2}}{4} = 1

y^{2} - 4 x^{2} = 12

What is (x^2)/4-(y^2)/9 =-1 ?
The solution to (x^2)/4-(y^2)/9 =-1 is Hyperbola with (h,k)=(0,0),a=3,b=2