“Care for”, “Care about” are used in transitive expressions. You can care about somebody, that is be interested in somebody’s conditions or care  for something, that is be interested in something. Care for is also equivalent to look after.

Prasal verb Translation Examples
care about essere interessato I don’t care about what they may think of me.
care for essere interessato She invited me to a dance show but I don’t care dance shows at all.
care for prendersi cura The classroom wasn’t very well cared for by the students.