Computer help! stopping auto fill-in fields

[LoveMyKeyKKG]

I'm not sure if that's what you call it, but you know when you go to Google for example and start typing in what you want to search for. Say you start typing an "A" and stop. Every word you've ever searched for that starts with A automatically comes up for you to choose from in a drop down menu.

I don't want old searches to come up because I sometimes share a computer at my parent's home. How can I turn this off?

I hope that makes sense!

Thanks!