They look like Costus - a member of the ginger family. They usually grow from a piece of rhizome, so if you rooted yours from just a stem then that makes it more likely as they are one of the few gingers to be able to be propagated that way. There are a number of costus including some dwarf forms and some that grow around 1 m up to 2 m depending on a number of factors. Also some bloom from the ground and some bloom from the ends. You might take some closer shots of the leaves and post in the specialty forum otherwise perhaps you will be waiting till flowering for a proper ID. They sometimes die down in winter in my garden too but re-shoot in spring.