Electronic device for adaptively changing representation of image according to change in display area of rollable display

An electronic device comprising:

• a housing including a first housing part and a second housing part movably coupled to the first housing part, wherein the housing is changed between a retracted state and an extended state based on a movement of the second housing part;
• memory comprising one or more storage media and storing instructions;
• an actuator configured to provide driving force to move the second housing part with respect to the first housing part;
• a flexible display supported by the first housing part and the second housing part, wherein a size of a display area of the flexible display exposed to an outside of the housing is changed based on the movement of the second housing part;
• and
• at least one processor comprising processing circuitry,
• wherein the instructions, when executed by the at least one processor, cause the electronic device to:
• while an image is displayed in the display area of the flexible display, identify an event that changes the state of the housing;
• in response to the event, control the actuator to move the second housing part with respect to the first housing part to extend the display area of the flexible display;
• while the display area of the flexible display is extended,
• move the image in a first direction in which the display area is extended;
• and
• based on identifying that a distance in which the image is moved in the first direction reaches a distance threshold, extend the image in a second direction opposite to the first direction.