My parents reacted the same way, my dad seemed to be much more understanding than my mom.
She called my general doctor trying to get him to tell her what we had talked about, but I revoked my consent to share information with her so he couldn't tell her anything.
I think she cried for two whole days afterwards, and didn't sleep. But now she seems fine, I told her September 1st.
Both of my parents were saying that they wanted to seek family counseling but I haven't heard anything about that since right after I told them. Maybe they just needed some time, and to do some research to see that I'm not making an irrational decision, and that this is something that really has been bothering me for a long time. Or they could just be thinking this is a phase, or that I'm not serious about it.
Either way, I think the hormones will prove to them, more than anything I can say, that I am in fact completely serious.