First of all, you need to know what an appositive is.
It is a noun or a noun phrase that is used to modify, or refer to another noun which is usually located next to the appositive. In this case, the appositive phrase is Lucinda Gonzalez, because it modifies the noun <em>student.</em>
Answer:
I believe it’s D. explain a surprising change in Laura’s demeanor and behavior.
C is the answer, I think!