Methods and electronic devices are provided. A first user interface (UI) having a size of a first portion of the flexible display, is displayed within the first portion. A user input associated with a first point and a second point, both in the first portion, is identified while displaying the first UI within the first portion. The first point is different from the second point. A second UI, based at least in part on the first UI, is displayed within a second portion of the flexible display, in response to identifying the user input. The second portion is distinct from the first portion.