A graphing calculator is recommended. For a camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens, where F, x, and y are related by 2+3=1 (See the figure.) Suppose the camera has a 55-mm lens (F= 55). (a) Express y as function of x. y = 4 Graph the function. y 250 200 150 100 50 200 400 600 800 X 1000 y -50 -100 -150- -200 -250 200 400 600 X 800 1000 y y 250 y 200 150 100 50 200 mm 400 600 mm 800 X 1000 V -50 -100 - 150 (b) What happens to the focusing distance y as the object moves far away from the lens? -200 -250 (c) What happens to the focusing distance y as the object moves close to the lens? 200 400 600 X 800 1000