A rational function of the form y = a / (x - h) + k has asymptotes at x = 4 and y = - 2.

Write the equations of two different functions that meet this description.

y = 2 / (x-4) - 2

y = 3 / (x-4) - 2

Step-by-step explanation:

asymptote x = 4, when (x-4) in the denominator

asymptote y = - 2 when the quotient (whole number, outside the fraction is - 2)

y = a / (x-4) - 2, where a is not 0

Two functions could be:

y = 2 / (x-4) - 2

y = 3 / (x-4) - 2