I think especially in high school, home schooling isn't really worth it. I mean, for elementary school and middle school, it's fine. Sure, parents are completely capable of teaching their kids reading, writing, some basic history, some basic science, and algebra. But what do most parents know about say, molecular orbital configurations (what I'm doing right now in AP Chemistry)? Could your parents teach you calculus? Mine couldn't. How about Spanish? My mom speaks a bit of French, but she probably couldn't really make her way around Paris on what she knows.
I'd say my mom, who was an editor for a while, could probably teach me English decently, but that's it. My dad's a Civil War buff, so I'd learn a lot about that, but that's as much history as I could get.
So, you really want a high school education? Make sure your parents bone up on what they learned before you get home schooled. Otherwise, just go to high school.