The phrases from each of the sentences are most likely:
<u>Participial phrase
</u>
<u>Infinitive phrase
</u>
<u>Gerund phrase</u>
A participial phrase is the collection of words in a sentence which is made up of a participle, and a modifier. They perform various functions in a sentence such as being either the objects, or adding extra meaning to the word.
An infinitive phrase is a group of words which has an infinitive and also gives extra information about another word.
A Gerund phrase is a collection of words which has a gerund and another word which modifies a word. Some examples include: "Biking is such a fun sport".
An infinitive is a word that usually begins with a verb "to + extra word" for example, to eat, to walk, etc.