crescent-shaped vs crescent

crescent-shaped is not a noun while crescent is a noun.

Word	Noun	Adjective	Verb	Adverb
crescent-shaped	No	Yes	No	No
crescent	Yes	Yes	No	No

As adjectives, crescent-shaped and crescent are synonyms defined as:

Other synonyms of crescent-shaped include lunate, semilunar.

crescent-shaped (noun)	crescent (noun)
	any shape resembling the curved shape of the moon in its first or last quarters

crescent-shaped (adjective)	crescent (adjective)
resembling the new moon in shape	resembling the new moon in shape