Will your teacher be asking a specific question that you will have 45 minutes to answer? Or will your teacher just say "analytical" or "argumentative" and then expect you to come up with your own topic related to the story?
If the latter, then the thing to do is come up with a couple of topics in advance. If the former, just re-read the story very carefully, thinking about characters and themes.
Also, just FYI, this distinction between analytical and argumentative exists primarily in your teacher's mind. Most literary criticism is both.
Simone, EssayForum.com