graph is a reflected cosine graph with amplitude 3 and period 7 4π. 2π ( 4, 2) 2) y 2.5 T 3 –– 4π= 2 (8, ) ω Find : 3 ω 2 3 (4, 1) 4πω = 2π –– x ω = 2π = 1 4π 2 16 12 8 4 0.5 4 8 12 16 The equation is: = −3cos ⎛ =1 ⎞ . y x ⎜ 2 ⎟ ⎠ ω = 3; = π; = 2π = 2π A T 74. The graph is a reflected sine graph with 67. = 2 ⎝ π T = ±3sin(2 y x) amplitude 2 and period 4. 2π ω = Find : 4 ω ω 2; = 4π; = 2π = 2π = 1 T 68. = = 4ω 2π A 4π 2 T π 2π = ±2sin ⎛ 1 ⎞ y x ω = = 4 2 ⎜ ⎟ 2 ⎝ ⎠ The equation is: = − 2sin ⎛ π ⎞ . y x ⎜ 2 ⎟ ⎝ ⎠ 69. ω = 3; = 2; = 2π = 2π = π A T 2 T graph with amplitude period 1. = ±3sin(πx) y 3 and 75. The graph is a sine 4 70. = 4; A ω = = = = 1; 2π 2π 2π 2π T ω 1 T ω ω = 2π Find : = ±4sin(2π y x) = 1 The equation is: The graph is a cosine graph with amplitude 5 and 71. period 8. (2π ) = 3 sin . y x 4 ω Find :
( 4, 2) y 2.5 2) graph is a reflected cosine graph with amplitude 3 and period 4π. 2π 3 –– 2 (8, 3 ) Find ω : 4π= ω 2 3 (4, 1) –– x 4πω = 2π ω = 2π = 1 4π 2 16 12 8 4 0.5 4 8 12 16 The equation is: y = −3cos ⎛ =1 x ⎞ . ⎜ 2 ⎟ 67. A = 3; T = π; ω = 2π = 2π = 2 ⎝ ⎠ 74. The graph is a reflected sine graph with T π y = ±3sin(2 x) amplitude 2 and period 4. 2π Find ω : 4 = ω 68. A = 2; T = 4π; ω = 2π = 2π = 1 4ω = 2π T 4π 2 2π π y = ±2sin ⎛ 1 x ⎞ ω = = 4 2 ⎜ 2 ⎟ ⎝ ⎠ The equation is: y = − 2sin ⎛ π x ⎞ . ⎜ 2 ⎟ 69. ⎝ ⎠ A = 3; T = 2; ω = 2π = 2π = π T 2 y = ±3sin(πx) 75. The graph is a sine graph with amplitude period 1. 3 and 4 70. A = 4; T = 1; ω = 2π = 2π = 2π 2π T 1 y = ±4sin(2π x) Find ω : 1 = ω ω = 2π 71. The graph is a cosine graph with amplitude 5 and period 8. The equation is: y = 3 sin (2π x ) . 4 Find ω : 7 T
62514-0132318806_ISM_02-1.docx