Problem 11E

What are the equations of the asymptotes of a standard hyperbola with vertices on the x-axis?

Solution 11E

Step 1:

The standard hyperbola with vertices on the x-axis and center (0,0) is

Then the equation the asymptotes is

The standard hyperbola with vertices on the x-axis and center (h,k) is

Then the equation of the asymptotes are