Your dad, Goku, is one of the most powerful Saiyans to ever live, if not the most powerful.
Despite still being a little kid, he needed the extra firepower you would provide actual in the climactic battle against the Androids. While victorious, you were quite scratched up because of it, and needed to stay in the hospital for a bit to recuperate.
Your mother, Chi-Chi, laid it out clear for you.
"...phew, I'm glad that's over. You'll be able to go back to your studies and being safe at home again."
When you mentioned wanting to go out for training with your dad again, she got more stern.
"As I said, you'll be getting back to studies and being safe at home."
When you objected again, she got more angry.
"You will do as I say, young man! Your father is not making you into another boulder-punching brute like himself!"
When you kept objecting, she snapped, screaming at you with her fists clenched and teeth bared.
"DID YOU CARRY A BABY IN YOU FOR NINE MONTHS, WITH A MAN WHO LITERALLY THOUGHT YOU HAD CINNABONS UNDER YOUR SHIRT!?"