[1] At the 2000 Sydney Olympic Games, Kvasha competed only on vault for the Ukrainian team, scoring 9.581 which was tied for the 8th highest qualifying score.

However, due to the tie-breaking procedures, she did not qualify to event finals.

In the event finals, she became the European floor champion after performing a clean exercise for a score of 9.500.

In Athens, Ukraine placed 5th in team qualifications, where Kvasha contributed scores of 9.412 (vault), 8.850 (bars), 8.987 (beam) and 9.462 (floor).

In the event finals, Kvasha finished 6th on the vault with a score of 9.343.