2. A seagull sees a fish in the ocean below and dives to catch it. The bird starts at a height of 5 feet above the
water and after three seconds is one foot below the water surface. After the
bird catches its food, it flies back out of the water at the same rate.
a. Draw a graph which models this situation. (2 points)

b. Write an equation, C(x), that models this situation.

c. What transformations occurred from the original parent function y = \x\?

d. Evaluate C(5). What does this coordinate mean in terms of the problem?

e. At what time(s) was the bird 3 feet above the surface of the water?