When you first meet someone -- the initial contact -- you want to make a good impression. But if you fail to do so, when you leave, they may say that you left them with a bad impression (of you) or that you left/made a bad impression on them. If you succeed, then you left them with a good impression of you or you left/made a good impression on th
Would you say you make an impression (good or bad) ON people, but you leave them WITH that impression? The preposition changes based on which word you want to use.