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Four trigonometric function graphs demonstrating amplitude changes for sine and cosine functions, including equations and transformation details.

Graphs showing amplitude changes for trigonometric functions y = a sin θ and y = a cos θ, with four examples illustrating domain, range, amplitude, period, phase shift, and vertical slide.

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Show Answer Key & Explanations Step-by-step solution for: Grade 8 Graphing Sine and Cosine Functions Worksheets 2024

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1) y = 2 sin θ
Domain: All real numbers
Range: [-2, 2]
Amplitude: 2
Period: 2π
Phase shift: 0
Vertical slide: 0

2) y = -1/2 cos θ
Domain: All real numbers
Range: [-1/2, 1/2]
Amplitude: 1/2
Period: 2π
Phase shift: 0
Vertical slide: 0

3) y = -4 sin θ
Domain: All real numbers
Range: [-4, 4]
Amplitude: 4
Period: 2π
Phase shift: 0
Vertical slide: 0

4) y = 2 cos θ
Domain: All real numbers
Range: [-2, 2]
Amplitude: 2
Period: 2π
Phase shift: 0
Vertical slide: 0

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

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