Determine an equation of the form y = a cos bx or y = a sin bx, where b > 0, for the given graph. See Example 6.

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Determine an equation of the form y = a cos bx or y = a sin bx, where b > 0, for the given graph. See Example 6.

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For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = 2 sin 2x

For each function, give the amplitude, period, vertical translation, and phase shift, as applicable.

y = -½ cos 3x

Graph each function over a one-period interval.

y = -2 cos x

An object in simple harmonic motion has position function s(t), in inches, from an equilibrium point, as follows, where t is time in seconds.

𝒮(t) = 5 cos 2t

What is the amplitude of this motion?