Question 1 For each trigonometric function, indicate the amplitude and midline. 1. y = 2 sin (0 ) - amplitude: midline: y= 2. y = cos (0) - 5 - amplitude: midline: y= 3. y = 1.4 sin (0) + 3.5. - amplitude: midline: y= Blank 1: Blank 2: Blank 3: Blank 4: Blank 5: Blank 6:Question 2 Use the graph below to indicate the midline and amplitude. y -27T _3_7T '7T - N|=l '_\\ ml: The midline is y= The amplitude is Blank 1: Blank 2: Question 3 Select all the functions that have a period of pi. C] 6 cos (x) C] '0 cos (2:13) C]: S. (a?) 111 2 C] d sin (2m) Question 1 Given a graph of a trigonometric function. Which equation matches the graph given? Select all that apply. Db 3 Ba 3 Question 2 Which equation matches the graph? YA X DIN Al - DIW DIN 0 O a y = cos (ac) + 1 Ob O H y = -COS (Trac) + 1 O c y = N H - cos (ac) + 1 Od y = N H COs (27rac) + 1The function fis given by J ( ) = 4 + 2 sin (TT ). The graph of g is the graph of f translated to the left pi/2 and translated vertically by -1. Which expression defines g? O a g (x) = 5+ 2sin (Ta + O b g (x) = 3+2sin (Ta + 2 O q(a) = 3+2sin Ta - Od g (x) = 3+ 2 sin (T (a+ , Question 4 The function f is given below. Which of the following are true of f? Select all that apply. f (0) = 6+5cos (0+ The graph of f is the same as the graph of f (6) = 6 + 5 cos ( ) translated to the right pi/2 The amplitude of f is 6 O c The function takes its maximum value when x=0 Od The midline of f is 6 The graph of f is the same as the graph of J ( ) = 6 + 5 cos (0) translated to the left by pi/2.Question 1 The vertical position, in feet, of the point P on a windmill is represented by the equation below, where t is the number of seconds after the windmill started turning at a constant speed. Select all the true statements. 2 y=551n gt +20 C] a The windmill makes one revolution every 3 seconds C] b The windmill blades are 5 feet long C] c The windmill blades make 5 revolutions per second C] d The windmill makes 3 revolutions per second C] e The midline of the graph is 20 Question 2 A seat on a ferris wheel travels 250pi in one full revolution. How many feet is the carriage from the center of the ferris wheel? O a ZSO/pi O b 250 O c 125/pi Q d 125 A windmill blade spins in a counterclockwise direction, making one full revolution every 5 seconds. Use point Was the starting point. Which statements are true? Select all that apply. W After 15 seconds, the point W will be in its starting position Ob After 1/5 of a second, the point W will be in its starting position O c The position of W repeats every 10 seconds Od The position of W repeats every 5 secondsA wheel rotates three times per second in a counterclockwise direction. The center of the wheel does not move. What angle does the point P rotate through in on second? AA WV Ob 67r Od 27r