Emblematic originates from the Greek word "émblēma" (genitive "émblematos"), meaning "an insertion". This literally meant "to throw in" and later evolved to mean "a relief or raised ornament".  The Greek "émblēma" was adopted into Latin as "emblema," which also meant "inlaid ornamental work".  In French, "emblema" became "emblème," taking on the meaning of a symbol or emblem. The English adjective "emblematic" is derived from the French "emblème," with the addition of the suffix "-atic". 

The first known use of the word "emblematic" in English was in 1645. It was borrowed from the New Latin term "emblēmaticus," which in turn came from "emblēma" (meaning "emblem") and the suffix "-icus". The word's earliest known usage in English is in the mid-1600s, specifically in 1645, according to the Oxford English Dictionary. 

Examples of emblematic used in a sentence: 
"He was again wearing the emblematic shirt."
"My own personal story is emblematic of what is happening elsewhere."
"That question is emblematic of tragic thinking."
"It seemed entirely emblematic of their afternoon." 
"Empty buildings are emblematic of a city in decline." 
"A crown is emblematic of royalty." 

Just the facts:

EMBLEMATIC Definition & Meaning - Merriam-Webster