CP Algebra II 4/17/15 Graphing Trig Functions 1. Sketch the graph of each function. a. y = 4cos 2θ + 1 ⎛1 ⎞ b. y = −3sin ⎜ θ ⎟ − 2 ⎝2 ⎠ c. y = 5tan θ + 2 Name:________________ 2. Match each equation with the correct graph. y = 2sin(4x) ⎛1 ⎞ y = 2 sin ⎜ x ⎟ ⎝4 ⎠ y = –2sin(4x) y = 2sin(4πx) ⎛1 ⎞ y = −2 sin ⎜ x ⎟ ⎝4 ⎠ ⎛π ⎞ y = 2 sin ⎜ x ⎟ ⎝4 ⎠ (A) (B) (C) (D) (E) (F) 3. Match each equation with the correct graph. You will not use all eight graphs. y = –2cos(8πx) y = 2cos(8x) y = –2cos(8x) ⎛π ⎞ y = −2cos⎜ x ⎟ ⎝8 ⎠ ⎛ x⎞ y = 2cos⎜ ⎟ ⎝8⎠ ⎛ x⎞ y = −2cos⎜ ⎟ ⎝ 8⎠ B A C D E F G H 4. Write an equation for each graph. 5 π π π 2π 5π 6 3 2 3 6 π 7π 6 –5 – 10 – 15 8 6 4 2 π 4 – π 2 – π π π 3π 4 4 2 4 –2 –4 –6 π 5π 3π 7π 4 2 4
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