This invention is for a flexible telescope mirror. A mirrored film is stretched across a frame, and deformed into a rough parabola using a partial vacuum. The film is then deformed into a more perfect parabola using electric fields. In some embodiments, a feedback system based on a laser projector and a camera is used to fine tune the resulting parabola for optical performance. The invention allows the creation of large telescope mirrors for a substantially lower price than conventional ground glass mirrors, and allows the creation of substantially lighter mirrors, suitable for space-based applications.