Suppose f(x)=x^3. Find the graph of f(x+5).

Step-by-step explanation:

These problems can be a bit confusing when dealing with f(x). All this problem is asking is substitute in for f(x) to find your new graph.

When you do that:

you get

The parent function (f(x) is

Both of the functions are cubic functions so they are going in the same direction. The only difference is that the new graph is shifted to the left 5 units.

I will upload a picture so you can see.