Problem

A sinusoid has maximum \(7\), minimum \(1\), and period \(6~\text{units}\). State every graph feature and parameter magnitude determined by this information, then state what remains undetermined.

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Determined: sinusoidal family, maximum 7, minimum 1, amplitude 6, midline y = 3, range [1, 7], period 6, and |B| = π/3. Undetermined: phase shift, sine versus cosine form, reflection, and all anchor x-locations.

Determined: sinusoidal family, maximum 7, minimum 1, amplitude 3, midline y = 4, range [1, 7], period 6, and |B| = π/3. Undetermined: phase shift, sine versus cosine form, reflection, and all anchor x-locations.

Determined: sinusoidal family, maximum 7, minimum 1, amplitude 3, midline y = 4, range [1, 7], period 6, and |B| = 3π. Undetermined: phase shift, sine versus cosine form, reflection, and all anchor x-locations.

Determined: sinusoidal family, maximum 7, minimum 1, amplitude 3, midline y = 4, range [1, 7], period 6, |B| = π/3, sine form with phase shift 0, no reflection, and anchors at x = 0, 1.5, 3, 4.5, and 6. Undetermined: none.

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A sinusoid has maximum \(7\), minimum \(1\), and period \(6~\text{units}\). State every graph feature and parameter magnitude determined by this information, then state what remains undetermined.

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