Sit down by yourself and make a list of pros and cons. Then speak to your parents about it. They will take you more serious if they know the reasons why, and that you have done some research on the subject.
give them good examples and posative things about being cyber schooled. EXample: "I get bullied in school, and I wouldn't if I were ciber-schooled" "I would learn more, and better" (Not necessarily true, but examples)