An electronic device includes a display, a display driver integrated circuit (DDI) electrically coupled with the display, a memory that stores an image, and a processor. The processor is configured to analyze at least one feature of the image and to determine at least one of a movement range, a movement interval, and a movement period of the image based on the at least one feature. The DDI is configured to display the image in the display when at least part of the processor is deactivated, and to change a display location of the image within the movement range depending on the movement interval and the movement period.