UCs and CSUs allow passing precalculus to validate a deficient grade (D or F) in algebra 2. See page 2 of https://admission.universityofcalifornia.edu/counselors/_files/documents/csu-uc-a-g-comparison-matrix.pdf
However, that does not mean that you are likely to be admitted to the more selective ones.
Arizona public universities do not specify that passing precalculus fulfills lower level math, but a 570 SAT math or 24 ACT math can be used to fulfill the math subject requirement. See ABOR Course Competencies | Admissions | University of Arizona and https://admission.asu.edu/apply/first-year/competency-requirements