So, I looked up those schools you mentioned you were applying to since you sounded so distraught and I want to help, especially since I am familiar with the area.
Why are your parents so intent on you living at home? If you don't go to UTA, they want you commute to school (if you life in the burbs?) Is it to save money and/ or to keep and eye on you?
May I ask what happened to your sister?
There are several variables (including the aforementioned questions) that need to be considered before formulating a good argument to present to your parents, including where you're accepted and how much it will cost.
Don't despair! Give your parents time to come to terms with you becoming a young adult. They will come around.