The question is incomplete and the full version can be found online.
Answer: b.live up
Step-by-step explanation:
The options provided to answer this question are:
a.live off
b.live up
c.live through
d.live on
The correct answer is "live up," because "live up to" is a phrasal verb of "live" that refers to fulfilling certain expectations.
The other options refer to actions that don´t match the idea of fulfilling expectations.
"Live off" is a phrasal verb of "live" that refers to someone depending on someone else as a source of income (I live off my parents).
To live through something means surviving a certain experience (I lived through Coronavirus).