Transform variables in Shiny

So once I pulled a data frame into Shiny, I'd like to take each variable and let the user do things like standardize them (Mean 0, SD = 1) or linearly transform them (newMean = bOldMean + c, newSD = bOldSD), and then show the transformed data in the data frame.
Would I use reactive UI functions? Any further help is greatly appreciated.
Thank you!