Participial phrase = PP Infinitive Phrase = IP
A PP is a group of words introduced by a present participle (ing form as in feeling tired, they went home) or past participle (-ed form in regular verbs or other forms in irregular verbs as in the police have questioned anyone found lurking near the house. )
An IP is any group of words introduced by infinitival to as in I want to dance.
All relevant parts are found between brackets [ ] and the kind of phrase, PP or IP, will be placed at the end of the sentence.
Julia withdrew money from each paycheck [to renovate her old and dingy bathroom.] IP
[Humming to himself], he appeared in good spirits as he walked to the office. PP
Audience members, [bored by the dull guest speaker], quickly lost their interest in the presentation. PP
[To become an expert archer], Natasha dedicated long days to repetitive target drills. IP
The movie featured an unknown actress [described as a rising star]. PP
[To gain admittance to Yale University] was Nicholas's top priority. IP
Tonight's gala event is an effort [to help raise money for natural-disaster relief.] IP