# Questions on Graphs of Trigonometric Functions

Multiple choice questions on the properties of the graphs of trigonometric functions with answers at the bottom of the page.

### Question 1

What is the period of the graph shown below? a) ?/3
b) 5 ?/3
c) 2 ?/3
d) 2 ?

### Question 2

Which of the functions below represents the graph below? a) y = - cos(2x)
b) y = cos(2x)
c) y = - cos(x)
d) y = cos(x)

### Question 3

Which of the trigonometric functions correspond to the graph shown below? a) 2 sin(x / 4)
b) 2 cos(4x)
c) 2 cos(x / 4)
d) 2 sin(4x)

### Question 4

Which of the functions below correspond to the given graph? a) y = - sin(2?x)
b) y = sin(2?x)
c) y = cos(2?x)
d) y = - sin(x)

### Question 5

What is the period of the graph below? a) 1
b) 2
c) ?
d) 2 ?

### Question 6

Find an appropriate function for the following graph: a) y = 0.5 cos (4?x)
b) y = 0.5 sin (x/4)
c) y = 0.5 sin (4x)
d) y = 0.5 cos (4x)

### Question 7

Which of the functions below correspond to the given graph? a) y = sin(x / 2 - 1/4)
b) y = sin(?x / 2 - ?/4)
c) y = cos(?x / 2 - ?/4)
d) y = sin(?x / 2)

### Question 8

What is the period of the graph below? a) 5?/4
b) ?/4
c) ?
d) 2 ?