Noun phrase because I know and done this before
A gerund phrase is the phrase that has a gerund, which is a noun derived from a verb in its base form plus -ing. The gerund phrase can also include other objects to complement it. In this sentence, the correct choice that identifies the gerund phrase is "making the class laugh constantly" because it is the only option that actually contains a gerund: making.
The answer is:
b. to influence.
Hope that helped