First think about `1/x` . It looks like this:
Now think about `1/x^2` . Since `x^2` is always positive, so is the function:
Now what about `1/x^3` ? Since `x^3` is negative when x is negative, the graph looks more like the top graph, 1/x.
Now, your function is just like `1/x^3` except the x has been adjusted with +1 and a -3 was thrown on the end. So the graph is going to be translated 1 to the left and 3 down.