Write an equation for a rational function with

Question

Write an equation for a rational function with:

Vertical asymptotes at x = 2 and x = -1

x intercepts at x = 6 and x = -3

y intercept at 6

y =   

Write an equation for a rational function with:

Vertical asymptotes at x = 4 and x = -2

x intercepts at x = -6 and x = 2

Horizontal asymptote at y = 9

y=

Answer 1

y= a(x-6)(x+3)/(x-2)(x+1)

y=a(-6)(3)/(-2)

y= 18a/2=9a when x=0, 9a=6, a=6/9=2/3

y= 2(x-6)(x+3)/3(x-2)(x+1)

y=9(x+6)(x-2)/(x-4)(x+2)