birth control help?

Sarina
so I have my period once every 2 weeks for about a week and a half, its exhausting, I'm always feeling sick from it And moody and what not. I want to be put on birth control but my parents found out I had sex when I thought I was pregnant. I'm 17 and still on their insurance but they refuse to put me on birth control because they think I just want to go have sex whenever I want when that has literally nothing to do with it. I'm tired of my period slowly killing me, and ideas on how to convince my parents to put me on birth control or how I could get on it without them knowing? Any help is much appreciated ❤️