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Worksheets

Analyzing Sine and Cosine Graphs

Total questions: 20

Worksheet time: 42mins

Name
Class
Date
1.
What is the equation of the graph?
a)
 y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x 
2.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
3.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6 sin(8x)

b)

y=6 sin 8(x-1)

c)

y=6 sin(1/4)x

d)

y=6 sin(x)

4.

The period of a function is

a)

the length of one cycle

b)

how high and low the function goes from the center line

c)

the range of the function

d)

2π

5.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
6.

What is an equation of the graph shown?

a)

y=cos(1/2)x

b)

y=cos (2x)

c)

y=sin (1/2) x

d)

y=sin (2x)

7.

What is the period of this function?

a)

4π

b)

2π

c)

π

d)

8π

8.

What word describes the vertical expansion of the graph or the distance between the sinusoidal axis and the maximum or minimum?

a)

Period

b)

Cycle

c)

Axis of Oscillation

d)

Amplitude

9.

What is the equation of the graph?

a)

y = sin x

b)

y = - sin x

c)

y = cos x

d)

y = - cos x

10.

Containing no phase shift, is this a graph of Sine or Cosine?

a)

y=sinx

b)

y=cosx

11.

Containing no phase shift, is this a graph of Sine or Cosine?

a)

y=sinx

b)

y=cosx

12.

What is the equation of this graph?

a)

y = sin (5x)

b)

y = cos (5x)

c)

y = 5 sin x

d)

y = 5 cos x

13.

What is the equation of this graph?

a)

y= -cos(2x)

b)

y= cos(2x)

c)

y= (1/2)cosx

d)

y= (-1/2)cosx

14.

What is the amplitude of

y = -3 sin (7x) - 2

a)

7

b)

-2

c)

3

d)

-3

15.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/b
c)
b(2π)
d)
2π+b
16.

What is the equation of this graph?

a)

y = sin (5x)

b)

y = cos (5x)

c)

y = 5 sin x

d)

y = 5 cos x

17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D