PC 12 Trig Graphs and Equations Test 125 Name Bascela churam Date : QL0 21 / 10 /2 Block: C A.MULTIPLE CHOICE: [Circle answer & print small letter to LEFT of question.] 1. Determine the amplitude for y =4-5cos~ (x - x). a . (4 ) b. -4 c. 5 d. -5 2 . Which function has a maximum value of 4 and a minimum value of -2? a) y=3sinx + 1 b) y=sin x + 2 c) y=4sinx + 1 d) y=3sinx - 1 3. What is the approximate period of the function y = csin-(0+d)-e ? a) a b) 2a c) 12 d) 27 4. What is the range of the function y= -3 sin x - 2? a ) - 1sys5 b) XER c) - 5 5 ys1 d) Os xs 2n 5. What is the minimum value of the function f(x)=5 - 2 cos (x+1) ? a) -7 b ) - 2 C ) 7 d) 3 6. What is the phase shift of the function y = sin T - 4 6 a) 4 W/ N d) 7. A Ferris wheel has a radius of 11 metres and it reaches a maximum height of 24 metres. It completes one rotation every 32 seconds. Assume that the height (h) of a passenger above the ground is a sinusoidal function of the time (t) in their rotation. Determine the equation of the sinusoidal axis. a. d = 11 c. d = 32 d = 13 d. d= 3 8. The depth of water, h metres, at an ocean port, on a certain day, at time, t hours, is given by the formula h =1.4sin 27 (t-0./2) + 1.9. Determine the depth of water at 10:30 p.m. 12 a) 1.99 m b) 0.61 m c) 0.56 m d) 0.85 m