Sinusoidal Functions
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period
equivalent to one cycle in a graph
phase shift
horizontal translation of a sinusoidal function
equation of the axis
the horizontal line halfway between the maximum and the minimum
amplitude
vertical distance from the function's axis to the maximum or minimum value
amplitude of 2
y = -2 cos2x - 1
equation of the axis is y = 2
y = 24 sin 3(x-20) + 2
amplitude of 3
y = 3sin 2x + 7
equation of the axis is y = -3
y = 7 cos 10x - 3