o e ol Real-world Applications of Trigonometric Functions The graph of a cosine function shows a reflection over the x-axis, an amplitude of 5, a period of 6, and a phase shift of 0. 25 to the right. Which is the equation of the function described? D i 1) 5) 1) The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the number of months since January 2001. (m = 0 represents January 2001.) m O 1 2 3 4 5 6 7 8 10 11 f (m) 62 50 41 38 41 50 62 74 83 86 83 74 A sine function is written to represent the data. What is the amplitude, period, and vertical shift of this equation? Drag a value into each box to correctly complete the statements. The amplitude of the sine function is The period of the sine function is The vertical shift of the function is 3 6 12 24 38 62 1 2 3 4 5 NextReal-world Applications of Trigonometric Functions a Reading Off The sinusoidal function f ( ac ) = 42 sin (9x - 70) + 42 models the height, in centimeters, that a valve stem of a tire is above ground x seconds after the tire begins to rotate. How long does it take the valve stem to complete one revolution? Enter your answer in the box rounded to the nearest hundredth. S 4 1 2 5 NextA series of locks manages the water height along a water source used to produce energy. As the locks are opened and closed, the water height between two consecutive locks fluctuates. The height of the water at point B located between two locks is observed. Water height measurements are made every 10 minutes beginning at 8:00 a.m. It is determined that the height of the water at B can be modeled by the function f (2) = -13 cos Trac 5 TT 60 12 + 24, where the height of water is measured in feet and x is measured in minutes. What is the maximum and minimum water height at B, and when do these heights first occur? Drag a value or time into each box to correctly complete the statements. The first minimum water height of feet occurs at a.m. The first maximum water height of feet occurs at a.m. 10 11 12 23 24 25 35 36 37 8:15 8:25 8:32 9:15 9:25 9:32 10:15 10:25 10:32The graph of a secant function shows no functional values on (- 7, 7). The asymptotes of the function occur every 71 units. Which function represents the secant function described? of (x) = 7 sec N/ 8 of ( a) = sec (ac ) + 7 of (x) = 7 sec (x) of ( a ) = sec (? ) + 7 1 2 3 4 5 Finish