Sinusoidal Functions

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