The sentence describes Amy as a student who "continually sought the favor of her instructors through flattery." We need two adjectives that best describe such a student.

Key traits to capture:
1. Seeks favor through flattery: This implies excessive praise or servile behavior to gain approval.
2. Negative connotation: The word "epitomized" suggests Amy is a perfect example of this (likely negative) trait.

Analyzing the Options
Let's evaluate each word to see if it fits:
A. Collegial
- Meaning: Relating to a friendly relationship between colleagues; cooperative.
- Fit: Doesn't match "seeking favor through flattery." Too neutral/positive.
- Reject.
B. Sycophantic
- Meaning: Behaving obsequiously to gain advantage; excessively flattering.
- Fit: Perfectly matches seeking favor through flattery.
- Select.
C. Obsequious
- Meaning: Obedient or attentive to an excessive degree; servile.
- Fit: Very close to "sycophantic," implying excessive eagerness to please (often through flattery).
- Select.

D. Obdurate
- Meaning: Stubbornly refusing to change one's opinion.
- Fit: Opposite of the desired meaning; no relation to flattery.
- Reject.
E. Esurient
- Meaning: Extremely hungry or greedy.
- Fit: Doesn't relate to flattery or seeking favor.
- Reject.
F. Parsimonious
- Meaning: Unwilling to spend money; stingy.
- Fit: No connection to the context.
- Reject.

Verifying Synonyms
Both "sycophantic" and "obsequious" describe someone who seeks favor through excessive flattery or servility. They are near-synonyms in this context.

Eliminating Incorrect Options
- Collegial: Too positive.
- Obdurate, esurient, parsimonious: Irrelevant meanings.
- Only sycophantic and obsequious fit.