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Stitz-Zeager_College_Algebra_e-book

# 7 when it comes to solving equations involving the

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Unformatted text preview: Graphs of the Trigonometric Functions 10.5.5 693 Answers 1. (a) y = 3 sin(x) Period: 2π Amplitude: 3 Phase Shift: 0 Vertical Shift: 0 y 3 π π 2 2π x 3π 2 −3 (b) y = sin(3x) 2π Period: 3 Amplitude: 1 Phase Shift: 0 Vertical Shift: 0 y 1 π 6 π 3 π 2 2π 3 x −1 (c) y = −2 cos(x) Period: 2π Amplitude: 2 Phase Shift: 0 Vertical Shift: 0 y 2 π π 2 2π x 3π 2 −2 π (d) y = cos x − 2 Period: 2π Amplitude: 1 π Phase Shift: 2 Vertical Shift: 0 y 1 π 2 −1 π 3π 2 2π 5π x 2 694 Foundations of Trigonometry π (e) y = − sin x + 3 Period: 2π Amplitude: 1 π Phase Shift: − 3 Vertical Shift: 0 y 1 π 6 −π 3 2π 3 7π 6 5π 3 x −1 (f) y = sin(2x − π ) Period: π Amplitude: 1 π Phase Shift: 2 Vertical Shift: 0 y 1 π 2 π 3π 4 5π 4 3π 2 x −1 1 π 1 x+ (g) y = − cos 3 2 3 Period: 4π 1 Amplitude: 3 2π Phase Shift: − 3 Vertical Shift: 0 (h) y = cos(3x − 2π ) + 4 2π Period: 3 Amplitude: 1 2π Phase Shift: 3 Vertical Shift: 4 y 1 3 π 3 π − 23 7π...
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