This means that the master saw how Yahweh was helping Joseph. AT: "His master saw that Yahweh was helping him" (See: [[rc://en/ta/man/translate/figs-idiom]])
"To find favor" means to be approved by someone. The idiom "in his sight" refers to a person's opinion. Possible meanings are 1) AT: "Potiphar was pleased with Joseph" or 2) AT: "Yahweh was pleased with Joseph" (See: [[rc://en/ta/man/translate/figs-idiom]])
# He served Potiphar
This means that he was Potiphar's personal servant.
# Potiphar made Joseph manager over his house, and everything that he possessed
"Potiphar put Joseph in charge of his household and everything that belonged to Potiphar"
# put under his care
When something is "put under someone's care," it means that the person is responsible for its care and safe-keeping. AT: "he had Joseph care for" (See: [[rc://en/ta/man/translate/figs-metaphor]])