A participial phrase contains a participle, which is a verbal form with the endings -ed or -ing (or irregular, such as "written", as in "Written on monday (the piece was famous already on Tuesday)).
here the participle is "noted" and the whole phrase is this one:
Noted for her beauty
The central conflict and its resolution in "To Build a Fire" is:
c. The man is in conflict with the extreme weather; the conflict ends when the man freezes to death.
Even though the man had conflicts with other characters in the short story, their conflicts arise from the central conflict of man needing to learn how to build a fire in order to keep warm amidst the extremely cold weather.
I need to know what the options are
The answer is gerund because golfing ends in ING