Properties
Period
Phase Shift
What's my equation?
True or False
100

The domain of sine function

What is xER (all real numbers)?

100

The period for sine function when k = 1

What is 360?

100

The phase shift of the function below.

y=-5sin(x-pi/3)+2

What is 

pi/3 ?

100

The a-value when a function has a max of 6 and a min of -6.

What is a = 6

100

(True or False) This represents a periodic function:


True

200

What two letters of sine function work together to tell you the range?

What is a and c?

200

The period for this function.

y = 3 sin[2x]+4

What is 180?

200

The phase shift of the function below.

y=4cos(x+pi)-2

What is 

- pi ?

200
The equation for a Sine Function with an amplitude of 2 and has a vertical shift of -5.

What is: y = 2 sinx - 5

200

(True or False) The c-value for this graph is c = 1

False (c = 0)

300

What is the range of a sine function with a=1 and c=0

What is {yER -1 <y<1}

300

The period for this function.

y = -4 sin [1/4(x - 90)]+8

What is 1440?

300

What is the phase shift of the function below?

y=cos(2x-pi)+6

What is 

pi/2?

300

The Sine Function equation, when the function has a period of 90 and a phase shift of right 45.

What is: y = sin[4(x - 45)]

300

(T/F): A positive a-value has a graph of sine function that reflects about the x-axis.

False
400

The definition of the period of a periodic function

What is the horizontal distance on the graph when the patter repeats itself?

400

The period for this function.

y = 1/2sin(2pi x)

What is 1?

400

What is the phase shift of the function below?

y=1/2 sin(3x+pi/4)+1

What is 

-pi/12

400

The c-value of this graph

What is c = 2?

500

For the general function in the form given below. This is the explanation for what causes a phase shift left or right.

y = a sin[k(x - d) + c 

What is -d is a phase shift left (x + d) 

and 

+d is a phase shift right (x - d)

500

The period of this function.

y=-13cos[2(3/4x - pi/2)] + 13

What is 

(4pi)/3 ?

500

What is the phase shift of the function below?

y= 4cos(1/5x-pi/10)+7

What is 

(5pi)/10 or pi/2 ?

500

The amplitude of this graph

What is a = 3?
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