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

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

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

asymptotes

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

y = 2 x, y = - 2 x

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Refine

y = 2 x, y = - 2 x

3 x^{2} - 8 y^{2} + 12 x + 16 y + 20 = 0

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

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

- 9 x^{2} + 4 y^{2} = 36

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

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