find the asymptotes of the hyperbola x^2-4y^2=4

Question

I need help finding the asymptotes of the hyperbola

Answer 1

To find the asymptotes of a hyperbola, set the equation equal to zero and solve for y:

 

x²-4y²=0

 

4y²=x²

 

y=±½ x

 

These are two straight lines passing through the origin and forming an X.