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

The asymptotes of (y^2)/9-(x^2)/4 =1 is y=(3x)/2 ,\quad y=-(3x)/2

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

asymptotes

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

y = \frac{3 x}{2}, y = - \frac{3 x}{2}

Solution steps

y = \pm \frac{a}{b} (x - h) + k

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

y = \frac{3}{2} (x - 0) + 0, y = - \frac{3}{2} (x - 0) + 0

Refine

y = \frac{3 x}{2}, y = - \frac{3 x}{2}

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

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

f (x) = x^{2} + 4 x + 1

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

x - 2 = \frac{1}{8} (y + 1)^{2}

What is the asymptotes of (y^2)/9-(x^2)/4 =1 ?
The asymptotes of (y^2)/9-(x^2)/4 =1 is y=(3x)/2 ,\quad y=-(3x)/2