What's your champion's power spike?

A little background so you know why i'm asking this question. A few days ago, my friend and I were playing a ranked game together and i was playing Draven and I was doing pretty decent during the game, not the best game I have played but far from the worst. However, the Shyvana jungle on the other team started to get get her items. She bought red smite bloodrazor and titanic hydra then started to build tank items, so in my mind i dismissed her as a non threat. Near the end of the game, some of my teammates started a small skirmish which lead to a teamfight. Shyvana was able to kill everyone very easily including me, and that took me by surprise since i thought she didn't have too much damage. The teamfight wasn't completely detrimental and we were able to win another fight and end the game.

Here is the game for reference: http://matchhistory.na.leagueoflegends.com/en/#match-details/NA1/2597913327/207676417?tab=overview

So now i ask the question what is your champion's power spike? I would like to know what to look out for, whether it be when they hit a certain level or buy a certain item or set of items. I'd love to hear what you have to say about your champion.

Thank you for taking the time to read the post and reply!