It depends on your parents. If I were to try to convince mine I would tell them why I did not want to go back to school. Make a list of things. Also I would get a job to help pay for it.
It was impossible for me. I was bullied really badly when I was in middle school and asked to be homeschooled; my parents denied me. Then I asked for a transfer....once again, denied.
Though I hated school and didnt wanna go, I did anyway.
Anyhow, type up a fake brochure on the benefits of homeschooling and give it to your parents. XD Maybe that'll work.