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Three trigonometric wave graphs illustrating sine functions with different amplitudes and periods for analysis.

Graphs of three sine waves with varying amplitudes and periods, labeled A, B, and C, showing trigonometric functions with axes and equations to be determined.

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Show Answer Key & Explanations Step-by-step solution for: Writing Sine and Cosine Trig Equations from Graphs Worksheet with ...

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1.
Amplitude: 2
Period: 2π
b-value: 1
axis of the wave: y = 0
phase shift: π/2 right
equation: y = 2sin(x - π/2)

2.
Amplitude: 3
Period: π/2
b-value: 4
axis of the wave: y = 0
phase shift: π/8 right
equation: y = 3sin(4x - π/2)

3.
Amplitude: 4
Period: 2π
b-value: 1
axis of the wave: y = 0
phase shift: π/4 left
equation: y = 4sin(x + π/4)

4.
Amplitude: 3
Period: 4π/3
b-value: 3/2
axis of the wave: y = 0
phase shift: π/3 right
equation: y = 3sin((3/2)x - π/2)

Parent Tip: Review the logic above to help your child master the concept of writing equations of trig functions worksheet.

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