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This worksheet provides four practice problems for graphing sine and cosine functions, requiring students to identify key characteristics like amplitude and period.

Worksheet for graphing sine and cosine functions with four problems involving amplitude, period, and phase shift calculations.

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9) y = 2sinθ + 1
Domain: All real numbers
Range: [-1, 3]
Amplitude: 2
Period: 2π
Phase shift: 0
Vertical slide: +1

10) y = cos2(θ - π/2)
Domain: All real numbers
Range: [-1, 1]
Amplitude: 1
Period: π
Phase shift: π/2 to the right
Vertical slide: 0

11) y = cos(θ + π) - 2
Domain: All real numbers
Range: [-3, -1]
Amplitude: 1
Period: 2π
Phase shift: π to the left
Vertical slide: -2

12) y = (1/2)sin2(θ + π/6) - 1
Domain: All real numbers
Range: [-1.5, -0.5]
Amplitude: 1/2
Period: π
Phase shift: π/6 to the left
Vertical slide: -1

Parent Tip: Review the logic above to help your child master the concept of graphs of sine and cosine functions worksheet.

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Free Graphing Sine and Cosine Functions Worksheets