Case 4:

In this case we will look at the case of a=0, therefore our equation will be:

Let's just use different values of b and k, then see what our graphs look like. What I know from previous examples is that b will determine how large my graph will be. Also, k will help determine the number of leafs. Let's let b=5 and k=5:

Well, this is about what I expected. Let's let b=5 and k=10:

When I increased k, I increased the number of leafs, which I expected. I assume this pattern will continue. Let's go to another exploration.