The correct answer is "it affected European arts and culture for thousands of years".
The Hellenistic period may have ended in different theories, it may have seized to end due to the final battle of the Greek heartlands by Rome in the year of 146 BC which follows the Achean War, with the final defeat of the Ptolemaic Kingdom at the Battle of Actium in the year of 31 BC, or due to the move by Roman emperor Constantine the Great of the capital of the Roman Empire unto Constantinople in the year 330 AD.