when using ssh with a server, does it remember that I used my key?

I am pretty new to servers, and I am trying to set one up on an old laptop of mine, but the main issue that I’m having is that I don’t know if ssh is working or not, I set up the keys all right, I used a pretty recent tutorial and everything looks fine.

When I ssh into the server it only prompts for the password and not the key, is this normal?

This is what I do:

ssh user@ip-address

user@ip-address’s password:

I feel weird that I am not being prompted for anything key related, does this mean that it is working, or if I did something wrong? Sorry if this is a dumb question, I looked everywhere and couldn’t find an answer.