1. The problem statement, all variables and given/known data 2. Relevant equations y = f(x) y=k(x+4)(x)(x-6) y=1/f(x) y= 1/ (k(x+4)(x)(x-6)) 3. The attempt at a solution I'm more looking for clarification on how people would approach this. There is no explicit point given to deduce the value of k to determine the vertical stretch or compression on y =f(x), so I was wondering if I was missing something or if there is simply another way to solve this problem. You can deduce a few things: Horizontal Asymptote is going to be at y=0 Vertical Asymptotes are going to be at (x=-4) , (x =0), (x=6) The function will be negative and have end behaviour in quadrant 2 and 4 With the current information, I only have enough to have the family of rational functions that are reciprocals of y = f(x) Am I just over complicating this, and should I just use point (4,8)?