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Vocabulary
Function Values
Review
Amplitude and Period
Vertical Translation & Phase Shift
100
How high or low the graph varies from the middle
What is amplitude
100

cos(60 degrees)=

What is 1/2

100
The maximum value of sine and cosine
What is 1
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 number of cycles per unit of time
What is frequency
200

sin(pi/2)=

What is 1

200
The minimum value of sine and cosine
What is -1
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

cos(120)=

What is -1/2

300

A trig function that uses adjacent/hypotenuse

What is cosine (or secant)

300

y=-5sin(pi(x))

What is amplitude = 5 

period = 2

300

y = -3 + 2 sin (x + (π/2))

What is vertical translation = 3 down 

phase shift = π/2 left

400
Functions that repeat their values in a regular pattern
What is periodic functions
400

sin(4pi/3)=

What is -(root 3)/2

400
How can you write a cosine function that matches the graph of y = sin(x)
y = cos(x-pi/2)
400

y = -(2/3) cos ((2pi)x)

What is amplitude = 2/3 

period =  1

400

y = -1 + (1/2) cos (2x - 3π)

What is vertical translation = 1 down 

phase shift = 3π/2 right

500

How far a graph is moved left or right

What is phase shift

500

tan(3pi/4)=

What is -1

500

In what quadrant are cosine and sine negative?

What is the third quadrant

500

y = 3 cos(1/4(x))

What is amplitude = 3 

period  = 8pi

500

y = -(1/4) sin [(3/4)x + π/8)]

What is vertical translation = 0 

phase shift = 4π/24 = π/6