I have a question about graphing a function of f using derivatives of f. The question specifically asks:

Sketch the graph of a function f for which f(0)=0, f'(0)=3, f'(1)=0, and f'(2)=-1.

This is all the information given for drawing the graph. I am asking for a step-by-step explanation on how to get the answer since I have the answer in my textbook but do not understand how to get said graph. Thank you for the eventual response.