A Frisbee is thrown and is found out that the trajectory of the Frisbee is a parabola passing through the points (1, 3), (4, 6) and (7, 5). If a dog is to leap and catch the Frisbee at right angle and the dog catches the Frisbee at the point (19/2, 10/9), determine the trajectory of the dog. Sketch the trajectories of the Frisbee and the dog.