how do i convince my paents to let me have facebook?

[StupidShep]

This is an understandable attitude; the internet can be a dangerous place.

The best way to go about convincing her is to sit down with her and let her watch you setting up the account, drawing particular attention to the privacy settings. Explain to her that you have to clear anyone that wants to be your friend, and that only they can interact with you / see your photos (if you have set up your account correctly).

Simply pleading won't work in this case, you need to show that, not only that you are mature enough to be trusted on the web, that facebook is geared to towards preventing internet fraud and so the environment is not as dangerous as she fears