Apparatus and method to display moved image data processed via a server at a predicted position on a screen

An apparatus causes a server to execute an application program, and stores, in time series, position-information, obtained by an operation to an input device of the apparatus, on a figure representing a target of the operation on a screen shared between the server and the apparatus. Upon determining that the figure is moved by the operation in the same direction at a speed exceeding a threshold, the apparatus calculates, based on the position-information, first position-information indicating a position at which the figure is expected to be after a lapse of a first time from a current-time where the first time includes a time taken for communication between the apparatus and the server, and transmits the first position-information to the server. Upon receiving, from the server, information of an image on the screen which is obtained by executing the application program based on the first position-information, the apparatus displays the image.