Can't really graph this for you but I can give you as many specifics as possible. First of all, that looks like this (to make it more clear):
. It's a third degree function, which is odd. By definition, one tail goes up and the other one goes down. Because the leading coefficient is a positive 3, the left tail goes down and the right one goes up. The "vertex" or point of inflection, is at (-2, -3), which is the parent graph of y = x^3 shifted 2 to the left and down 3. A few other points on the graph to help you graph it on your own are (-3, -6), (-1, 0), (0, 21), and (1, 78). Good luck!