Cyclical Functions
crest
highest point of a wave
a
represents amplitude
b
represents frequency
c
represents phase shift
d
represents vertical translation
amplitude
the distance between the sinusoidal axis and the maximum and the axis and the minimum
frequency
the distance from the beginning of a cycle to the start of the next
phase shift
the horizontal shift of the sine graph, left or right, from the parent graph
maximum value
the largest value in a set of data d + a
trough
the lowest point of a wave
vertical translation
the shift of the sine graph up or down from the parent graph
minimum value
the smallest value in a set of data d - a
Factor y = 24 sin (.03x + 0.42) - 200
y = 24 sin [.03(x + 14)] - 200
Factor y = 24 sin (.03x + 14) - 200
y = 24 sin [.03(x + 466.7)] - 200
Factor y = 24 sin (.03x - 0.42) - 200
y = 24 sin [.03(x - 14)] - 200
Factor y = 24 sin (.03x - 14) - 200
y = 24 sin [.03(x - 466.7)] - 200
Frequency of y = 42 sin (0.15x - 56) + 39
0.15
Phase shift of y = 42 sin (0.15x - 56) + 39
373.33
Vertical translation of y = 42 sin (0.15x - 56) +39
39
Amplitude of y = 42 sin (0.15x - 56) + 39
42