1. A square in the 2d plane has the x and y co-ordinates of (0, 0), (1, 0), (0, 1) and (1, 1). Apply a scaling of 0.5 units in the x direction, followed by a translation of three units in the x direction and three units in the y direction. First write down this transformation in homogeneous co-ordinates, and then apply it to the four corners of the square. Then write the new x and y co-ordinates of the four corners.