Lucy, it was a mosquito fish.
Cantra, you're doing everything you can. I agree with Lucy that you should try to get a bigger tank for the betta. You don't have to be (in fact, you shouldn't be) pushy about it. (Definitely don't say, "Well, the people on Fishlore said I have to,"

).
I think one of the most successful methods other young'uns on the forum have had goes something like this:
"Mom/Dad, I've been looking into how to care for that betta that you gave me. I've found out that they need to be kept in tropical conditions (be prepared to explain that this means a steady temperature in the high 70s). Heaters don't work well in really small aquariums, so I would like to upgrade mine so that I can properly take care of him."
At this point, the bargaining begins. Depending on your age, you might offer to save part of your allowance every week to pay for a larger aquarium, or you might just have to ask "what can I do to get him a proper aquarium?" The important thing to remember is that you're not trying to "beat" anyone. In the end, if the parents say "no," they say "no." You can work on influencing their opinions over time, but you don't want to get them mad at you.