Unit 2 - Problem Based Task Jambo the Frog is about to hop from the bank of a creek. The path of this jump can be modeled by the equation f (x) = -(x - 5)2 + 4 , where f(x) is the frog’s height above the water and x is the number of seconds since the frog jumped. Sutro the Fly is cruising by at a height of 5 feet above the water.

a. Can Jambo the Frog catch Sutro the fly without jumping? How do you know?

b. Is the extremum a maximum or a minimum? Why?

c. What is the vertex of the equation? What does it represent in the context of this problem?

d. If Jambo the frog’s jumps to catch the fly, will its path lead him to catch Sutro the fly?