Noah, I'm not Alex, but maybe I can help. I would guess a Canna Musifolia - also known as the banana canna. They get 12 to 15 feet in size in good soil. If you google that you can see the size in some pictures. If potted or in so so soil they won't max out like that.
Banana Canna (Canna ) - Hardy Tropicals Hardy Plantabase
I think there are some pictures about mid way in this thread of one I gave to Cheryl blooming for her. I have some shots of mine here also but I don't know if I labeled them. They remind me a lot when young of Ensetes because of the red edge to the leaf and the red stalk.
Mine have not multiplied because of our conditions this year, or I would send you one of mine.
Emily, those look perfect to me. Once established, I do very little to mine unless it is to give them a drink or maybe some manure (which is once a year in the Spring). They go through drought, leaf rollers, grasshoppers all sorts of stuff without any special treatment. If yours are two years old I would say they should be established and you won't have to baby them any.
~JaNan