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Vocabulary
Harmonic Motion
Amplitude and Period
Vertical Translation
and Phase Shift
100
How high or low the graph varies from the middle
What is amplitude
100
The position of a weight attached to a spring is s(t) = -3 cos 6(pi)t What is the period?
What is 2(pi)/6(pi) or 1/3
100
y=sin 3x
What is amplitude = 1 period = 2(pi)/3
100
y = -3 + 2 sin x
What is vertical translation = 3 down phase shift = 0
200

The thing the divides the middle of the graph

What is the midline

200
y=-2 cos 3x
What is amplitude = 2 period = 2(pi)/3
200
y = 1 + 2 cos 5x
What is vertical translation = 1 up phase shift = 0
300
How often something repeats itself
What is period
300
The position of a weight attached to a spring is s(t) = -3 cos 6(pi)t What is the maximum height the weight rises above the equilibrium?
What is 3 inches
300
y=(pi) sin (pi)x
What is amplitude = pi period = 2(pi)/pi = 2
300
y = -3 + 2 sin (x + (pi/2))
What is vertical translation = 3 down phase shift = pi/2 left
400
Functions that repeat their values in a regular pattern
What is periodic functions
400
y = -(2/3) cos ((pi)/4)x
What is amplitude = 2/3 period = 2(pi)/((pi)/4) = 8
400
y = -1 + (1/2) cos (2x - 3pi)
What is vertical translation = 1 down phase shift = 3(pi)/2 right
500
How far a graph is moved left or right
What is phase shift
500
y = 3 cos 2(pi)x
What is amplitude = 3 period = 2(pi)/2(pi) = 1
500
y = -(1/4) sin ((3/4)x + (pi/8))
What is vertical translation = 0 phase shift = (4pi)/24 = pi/6