The graph of a cosine function shows a reflection over the x-axis, an amplitude of 2, a period of 4, and a phase shift of 0.5 to the right. Which is the equation of the function described? of(z) =-2cos (# - Of(x) = -2 cos (x - -) o f(x) = -2cos (# - I of(x) =-2cos (nx-The table shows the highest daily temperature in degrees Fahrenneit averaged over the month for Cosine City, where m is the number of months since January 2001. (m = 0 represents January 2001.) m 0 3 6 9 12 13 f(m) 50 33 20 67 20 33 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. 18 21 24 27 30 33 20 67 50 23 50 67 The sinusoidal function f(z) = 33sin {7: - 1','3] + 33 models the height, in centimeters, that a valve stem of the 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, rounded to the nearest hundredth of a second, in the box. HE A 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. Itis determined that the height of the water at B can be modeled by the function f(z) = 12cos (T'; %] + 30, where the height of walter is measured in feet and x is measured in minutes. What is the maximum and minimum water height at 5, and when do these heights first occur? Drag a value or phrase into each box to correctly complete the statements. The first minimum water height of | I fest occurs at| {a.m. The first maximum water height of| Ifeet 7 18 19 29 30 31 42 43 44 3:20 828 835 8:52 900 907 e The graph of a secant function shows no functional values on (-12, 12). The asymptotes of the function occur every # units. Which function represents the secant function described? of(x) = sec () + 12 of(x) = 12 sec (x) O f (x) = sec (x) + 12 of(x) = 12 sec ()