The correct answer is predicate.
Without the predicate, the phrase above is just a phrase, a fragment of a sentence that could be incomplete. So, in order to complete it, in order to make it a full sentence instead of just a fragment, you need to add a verb, a predicate. For example: My father and I, along with my grandfather's help, managed to pain the house.
Managed to paint is the predicate which completes the fragment.
