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 (See the figure.) Suppose the camera has a 35-mm lens (F = 35). (a) Express y as a function of x. y= Graph the function. y 250 200- 150- 100 50 -50 -100 -150 -200 200 x 400 600 800 1000 y 250 200- 150 100 50 400 1000 -50 -100- -150- -200 x 200 400 600 800 1000 200 800 0-250 (b) What happens to the focusing distance y as the object moves far away from the lens? y- mm (c) What happens to the focusing distance y as the object moves close to the lens? y→

Put in standard form then make a Sketch of the function (right up, 1 u-turn)

+ 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine function. The high and low points of this part differ by 24 meters and cover a horizontal distance of 40 meters from the high point to the low point. The low point is 6 meters below ground in a tunnel. Let y repre- sent the number of meters the track is above or below ground, and let x repre- sent the number of meters the track is horizontally from the high point. a. Sketch this situation. b. The equation y = 12 cos (4.5x) + 6 models the situation when x and y are in meters and 4.5 is in degrees per meter. Rewrite y = 12 cos (4.5x) + 6 as an equation for which the coefficient of x is in radians per meter. c. What is the length of a vertical support girder at the high point? At a dis- tance of 6 meters horizontally from the high point? At a distance of 20 meters horizontally from the high point? d. Measured horizontally, how far from the high point does the roller coaster enter the…

The one I bubble in was on accident. (Question is above the graphs) only 1 answer! Say A, B, C, or D to tell me the answer.