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

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

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

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

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

Solution steps

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

Rewrite

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

y = 3 x^{2}

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

\frac{( x - 1 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{16} = 1

6 x^{2} + 12 y - 18 = 0

x^{2} + 8 y + 2 x - 23 = 0

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