Some facts are missing, but assuming the parents are not Utah residents, and that she is under age 24, then she would be a non-resident of Utah.
For tax purposes, your college-age daughter remains a resident of the parent's state. Her attendance at any out-of-state university is considered to be temporary, and she has not really "moved" there. She still is considered to have lived with you for the whole year.
She would only need a Nonresident tax return for Utah if she worked within Utah at a part time job, or during breaks/summer.
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
