Answer:
B.Frank thought it was a great idea to play at home.
Step-by-step explanation:
An infinitive phrase is a group of words that includes an infinitive verb (to + base form of a verb) and any accompanying words or phrases. In sentence B, the infinitive phrase is "to play at home." The infinitive verb is "to play," and it is accompanied by the prepositional phrase "at home."
The infinitive phrase "to play at home" functions as the direct object of the verb "thought." It answers the question "what did Frank think?"