In Noun phrases^x, Prepositional verbs^x

Dear teachers, Would you please help me to solve this problem? Example 1: I have been looking for you everywhere. "Parsing" = sentence analysis (correct use ?) Form + Function : I = Noun Phrase = subject have been looking = Verb Phrase = transitive verb for you = Prepositional Phrase you = object...

"It's still a noun phrase so a direct object." It's a prepositional object NP. Technically, it is not a direct object. I've looked this up recently. All prepositional verbs take prepositional objects.

My point was that "looked after" is a prepositional verb, not a phrasal verb as was suggested in the thread. I've been trying to understand the difference. It seems that many people are not aware that there is one. My error, I misunderstood. I know prepositional verbs as inseperable phrasal...