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?

The perimeter of a triangle is 69 cm. the first is 5 cm shorter than the second side. the third side is twice as long the first side. find the length of each side

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?