J'espère que tu as passé une bonne semaine.
Here's why:
* J'espère means "I hope"
* que is a conjunction meaning "that"
* tu is the informal "you"
* as passé is the past participle of the verb "passer" (to spend, to pass), conjugated in the passé composé tense. This tense is used for actions that are completed in the past.
* une bonne semaine means "a good week"
You cannot use the compound tenses "passé composé" or "plus-que-parfait" with the verb "passer" in this context.
These tenses are used to describe events that happened in the past, but the phrase "J'espère que tu as passé une bonne semaine" is expressing a hope about a period of time that has already passed.
Therefore, the correct conjugation is "as passé" in the passé composé tense.