7. A cosine curve has a maximum point at (3, 14). The nearest minimum point to the right of this maximum point is (8, 2). Which of the following is a possible equation for this curve? A. y = 6cos 27 (x + 3) +8 B. y = 6cos 27 ( x - 3) +8 C. y =6 cos =(x +3) +8 D. y =6cos #(x - 3) +8 Use the following information to answer the next question. The graph shows how the height of a bicycle pedal changes as the bike is pedalled at a constant speed. 50 40 Height of Pedal (cm) 30 20- 10 o 10 20 30 Time (s) 8. How would the graph change if the bicycle were pedalled at a lesser constant speed? A. The height of the function would increase. B. The height of the function would decrease. C. The period of the function would decrease. D. The period of the function would increase. Numerical Response 2. One maximum of y = -5sin|2x + -3 occurs at (a, b). The smallest positive value for a, to the nearest hundredth, is Math 30-1 Unit 2 Exam (Winter 2015) Center for Learning at Home Page 3 of 113. In standard position, the terminal arm of angle A passes through (-2k, -5k), where k >0. The exact values of cSC A and tan A are: A. CSC A = _V29 tan A = 5 B. CSC A = - V29 tan A = - NIUT 5 C. CSC A = V29 tan A = NIUT 5 D. CSCA = V29 NIUT 5 tan A = 4 . Which of the following correctly describes the trigonometric function f ( x ) = - 5cos - ( x - 7 ) ? A. f(x) has an amplitude of -5 and a period of B. f(x) has an amplitude of -5 and a period of 87 C. f(x) has an amplitude of 5 and a period of ~ D. f(x) has an amplitude of 5 and a period of 87 5. Which of the following correctly identifies the phase shift for y = - 2sin = x+ 3x ? A. 7 radians to the left B. n radians to the right C. 97 radians to the left D. 97 radians to the right 6. The range of y = acosx +d is -k sys 2k, where k > 0. The values of a and d are: A. a = K d = K 2 B. a = k 3k C = 2 C. a = 3 k K U = - 2 2 D. a = 3 k 3k 2 d : 2 Math 30-1 Unit 2 Exam (Winter 2015) Center for Learning at Home Page 2 of 11