Hello Ashley,
Vertical asymptotes are solutions to equations for your denominator: x = -5 and x =-3 mean you at least have (x+5)(x+3) in the denominator.
x-intercepts are solutions to equations for your numerator: x= -2 and x = 3 mean you have at least (x+2)(x-3) in the numerator.
At this point you should have y = A*(x+2)(x-3) /((x+5)(x+3))
where A is a constant. It can't just be any constant, though, because you're told the function must have a y-intercept of 9. Therefore, you would replace x by 0 and set y = 9
9 = A*(0+2)(0-3) /((0+5)(0+3)) so 9 = A *(2)(-3)/((5)(3)) --> 9 = A*(-6)/15 so A = 9*(-15/6) = -45/2
Putting it all together: y = -45(x+2)(x-3) /(2(x+5)(x+3))
