Błędnie: Once you have decided to become independent from your parents, you shouldn’t expect them to agree to pay for your studies. Poprawnie: Once you have decided to become independent of your parents, you shouldn’t expect them to agree to pay for your studies.
Słowo ‘independent’ znaczy „niezależny” i łączy się z przyimkiem ‘of’, np. ‘I wanted to be independent of her’ („Chciałem być od niej niezależny”).