What are the phase shift and period for the function y : 3 cos[4(9 + 60" )] 2'? 0 Phase shift = left 60" , period = 90. 0 Phase shift = right 60, period 2 90. 0 Phase shift = left 60, period = 790. 0 Phase shift = right 60", period = 7905. Which of the following is an equation for the sine function graphed below? "hum-um -150 -120 -90 -60 -30 I 30 60 90 120 150 181 .1 v2 .3 ,4 v5 6 A 7 v8 0 y : 85in(40) O y = 83mm) 0 y = 85in(%9) O y = 83in(0) Write an equation for a cosine function with an amplitude of 3, a period of 2, a phase shift of 2, and a vertical displacement of 5. O y = 3c05[27r(w 5)] -l- 2 O y = 5 cos[31r(z 2)] -l 2 O y = 3cos[27r($;2)] + 5 O y = 3cos[21r(z + 2)] -l 5 The graph y = arctanm is transformed to y : a arctan(b (:t c)) + a! by a vertical expansion by a factor of 3, a horizontal compression by a factor of % and a translation of 5 units to the right. The new equation is: O y = 3aIctan(4 (:5 5)) O y = 3amtan(%(:c -l- 5)) O y = % arctan( as: + 5)) O y = iatctan (a: 5)) The asymptotes of the function f(:) : arctanz: are located at y = g and y = g. What are the locations of the asymptotes of the transformed function defined by 9(3) =4arctan(%x) 7? O y:41r7 andy:41r7 O y=21r7andy=27r7 O y:%"+7andy:2;+7 O y:21r+7andy:27r+7 What is the domain and range of the graph of y : 2 arcsin(%(a: 2)) + 4? (Without restricting the range to become a function.) 0 Domain: {mix 6 R] and Range: {yil g y 5 5,3; E R] 0 Domain: {min 3 a: g 271-, as E R} and Range: {yiy E R} 0 Domain: {xi 1: :c g 5, z 6 R} and Range: {yly s R} 0 Domain: {y|4 S y S 7, y E R} and Range: {reins E R} At a seaport, the depth of the water, 1': metres, at time :5 hours, during a certain day is given by (14) 12.4 h, = 2.5354277 ]+ 1.6 What is the maximum depth of the water? 0 2.5 rn O 4.1 m 0 1.6 rn O 8.2 rn A Ferris wheel has a radius of 4D rn. Its center is 41 m above the ground. It rotates once every 70 5. Suppose you get on the bottom at t = 0. Write an equation that expresses your height as a function of elapsed time. 0 h. : 40cos[27r(t;:53] + 41 O h. 2 41 cos [7"??? + 40 O h = 40 cos [7r $7,351] + 41 O h : 41cos[rr";')] + 40 In a certain city in Northern Europe, the time of sunrise for any day of the year can be found using the equation t: 1.79 sin[3% (d 90)] + 9.3 Where t is the time in hours after midnight and d is the number of the days in the year. To the nearest day, on what day of the year did the sun rise at 8:30 AM for the first time? 0 Day 249 0 Day 117 0 Day 198 0 Day 98 1 6052.19 2 can be simplified to: 1 cosm l E C0533 C052 2': 0000 5'11]2 .7: Which of the following is a solution to the equation 14 6 cos m : 21 19 cos 2: for 1r