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Vocabulary
Function Values
Review
Amplitude and Period
Midline
and 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 = 2 sin x - 3

Midline at y = -3

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

Midline y= 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 =2 sin (x + (pi/2)) + 6

Midline y = 6 down 

phase shift = pi/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 =(1/2) cos (2x - 3pi) - 1

Midline y = 1 down 

phase shift = 3(pi)/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 = sin ((2/3)x + (pi/3))

Midline What is y = 0 

phase shift = (-pi/3)/(2/3) = -pi/2