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

y = 3 - ¼ cos ⅔ x

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

y = 3 cos (x + π/2)

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

y = -sin (x - 3π/4)

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

y = (1/2)csc (2x - π/4)

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

y = 2 sec(πx - 2π)

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

y = 1/3 tan (3x - π/3)

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

y = cot (x/2 + 3π/4)

Identify the circular function that satisfies each description.

​period is π; function is decreasing on the interval (0, π)

Graph each function over a one-period interval.

y = -2 cos x

Graph each function over a one-period interval.

y = -½ cos (πx - π)

Determine the simplest form of an equation for each graph. Choose b > 0, and include no phase shifts.

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Determine the simplest form of an equation for each graph. Choose b > 0, and include no phase shifts.

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