Solve the Problem $$y = \frac { f x } { x - f }$$

Essay

Solve the problem.
-The formula y $$y = \frac { f x } { x - f }$$ models the relationships needed to focus an image where y is the distance between the film and
projector lens, x is the distance between the move screen and the projector lens, and f is the focal length.
a) Sketch the graph of this rational function for f = 5 centimeters. b) Bob and Carol are showing home movies. Use the graph to describe the desired distance between the film and the
projector lens as Carol moves the projector further from the screen.