I've shown my ability to adapt by successfully working in several very different jobs. For example, I lived with a native family in Costa Rica. I worked as a nanny for a famous writer in Cape Cod. I was responsible for dealing with Drug Court participants. And I catered to elite country-club clientele. I did it all well and had no trouble adapting.
Also, remember the S-A-R (situation-action-result) technique and see a sample S-A-R story.