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1A Finding Amplitude, Midline, and Period of Function Graphs

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Which trig function does this graph represent?

a)

y=sin(x)

b)

y=cos(x)

c)

neither

2.
Which trig function does this graph represent?
a)
csc
b)
sec
c)
cos
d)
sin
3.

Is this graph periodic?

a)

yes

b)

no

4.
What is the amplitude of the function?
a)
2
b)
1
c)
3
d)
5
5.

What is the equation of the midline of the graph?

a)

y = -3

b)

y = 2

c)

y = -2

d)

y = 3

6.

What is the equation of the midline of the graph?

a)

y = -1

b)

y = 0

c)

y = 3

d)

y = -3

7.

What is the amplitude of the graph?

a)

1

b)

2

c)

-3

d)

4

8.

What is the period of the graph?

a)

π

b)

2π

c)

4π

d)

8π

9.
what is the amplitude of y=3sin(7x)-2
a)
7
b)
-2
c)
3
d)
6
10.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
11.

A complete cycle of the function y=Acos⁡(Bx)+Cy=A\cos\left(Bx\right)+C  is shown. What is the value of A?

a)

12

b)

-12

c)

24

d)

8

12.

What are the Amplitude, Period and Midline of this sin graph?

a)

Amp = 3
Period =  2π2\pi  

Midline  - y = -1

b)

 Amp = 3

Period =   π\pi  

Midline - y = 3

c)

Amp = 2
Period = 3π3\pi  
Midline  - y = 0

d)

Amp = 2
Period = 2π2\pi  
Midline  - y = 1

13.

What is the midline of the graph shown?

a)

y=2y=2

b)

y=−2y=-2

c)

y=6y=6

d)

y=0y=0

14.

What is the midline of  y=3cos⁡5x−2y=3\cos5x-2  

a)

y=3y=3  

b)

y=53y=\frac{5}{3}  

c)

y=−2y=-2  

d)

y=5y=5  

15.
The horizontal length required to complete one cycle.
a)
Period
b)
Cycle
c)
Axis of Oscillation
d)
Amplitude
16.

Which equation best represents the graph pictured above?

a)

y=3sin⁡x+1y=3\sin x+1

b)

y=3cos⁡x+1y=3\cos x+1

c)

y=2sin⁡x+1y=2\sin x+1

d)

y=2cos⁡x+1y=2\cos x+1

17.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
18.
What is the period of this graph?
a)
2π
b)
π/2
c)
π/4
d)
π
19.
The period of a function is 
a)
how long one cycle is before the function repeats
b)
how high and low the function goes from the center line
c)
the range of the function
20.
Amplitude refers to....
a)
how high and low the function varies from the center line.
b)
the length of the function
c)
how often the function repeats
21.
Is following periodic?
a)
Yes
b)
No
22.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
23.
What is the period of y = 4Cos(2x)?
a)
4π
b)
π
c)
2π
d)
π/2
24.
What is the amplitude and period of y = 2sin(πx)
a)
2 and 2
b)
π and 2 
c)
2 and π
d)
2π and 2
25.

The lowest point of a graph is called the......

a)

maximum

b)

vertex

c)

zero

d)

minimum

26.

The highest point of a graph is called the.....

a)

vertex

b)

zero

c)

maximum

d)

minimum

27.
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 
28.

What is the period of y= -3sinx

a)

π

b)

2π

c)

3π

d)

4π

29.
What is the amplitude of the graph? 
a)
1
b)
3
c)
6
d)
9
30.

A complete cycle of the function y=Acos⁡(Bx)+Cy=A\cos\left(Bx\right)+C  is shown. What is the value of B?

a)

π4\frac{\pi}{4}  

b)

π8\frac{\pi}{8}  

c)

π2\frac{\pi}{2}  

d)

8π3\frac{8\pi}{3}  

31.

What is the degree of an angle with a radian measure of 110π\frac{1}{10}\pi  

a)

18°18\degree  

b)

22°22\degree  

c)

40°40\degree  

d)

15°15\degree  

32.

What is the degree of an angle with a radian measure of 56π\frac{5}{6}\pi  

a)

100°100\degree  

b)

150°150\degree  

c)

160°160\degree  

d)

115°115\degree  

33.

What is the degree of an angle with a radian measure of 74π\frac{7}{4}\pi  

a)

310°310\degree  

b)

320°320\degree  

c)

315°315\degree  

d)

330°330\degree  

34.
How many radians does a circle have?
a)
  360 degrees
b)
2pi radians
c)
pi radians
d)
2 radians
35.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
36.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
37.

What is the name of the boy who visits Will Wonka's chocolate factory?

a)

Chuckie Buckie

b)

Charlie Bucket

c)

Charlie Brown

d)

Chulie Barcket

38.

Which Marvel movie comes first in the timeline?

a)

Iron Man

b)

Spider Man

c)

Captain America: The First Avenger

d)

Thor

39.

Which one is NOT a dwarf from Snow White?

a)

Bashful

b)

Wheezy

c)

Sneezy

d)

Dopey

40.
Which of the following is NOT a Disney animated films focusing on dogs?
a)
Bolt
b)
Oliver and Company
c)
Lady and the Tramp
d)
Meet the Robinsons
41.
Complete the lyrics: Let it go, Let it go, Can't hold it back __________. 
a)
any longer 
b)
to much longer 
c)
anymore 
d)
no more 
42.
In which city is the 2007 Disney film Ratatouille?
a)
London
b)
Paris
c)
New York
d)
Milan
43.
In the movie Matilda, what is Matilda's power?
a)
Photosynthesis 
b)
Mind Reading 
c)
Telekinesis
d)
Flying 
44.
In the movie E.T., what kind of candy does Elliott use to lure the alien into the house?
a)
M&Ms
b)
Skittles
c)
Reese's Pieces
d)
Junior Mints
45.
Who directed the movie Avatar?
a)
Steve Spielberg
b)
George Lucas
c)
James Cameron
d)
J.J. Abrams
46.

What Disney cartoon was just remade in to a live action movie with the character Prince Ali?

a)

Cinderella

b)

Aladdin

c)

Beauty and the Beast

d)

Dumbo

47.

What movie has the character Marty McFly in it?

a)

Trolls

b)

Captain Marvel

c)

Back to the Future

d)

Star Wars

48.

What was Pixar's first major motion picture released?

a)

Toy Story

b)

Finding Nemo

c)

Tangled

d)

Rataouille

49.

The hit single sung by Celine Dion went to number one around the world when it was released. The soundtrack song won an Academy Award, two Grammys, and a Golden Globe Award.

a)

My Heart Will Go On

b)

Unchained Melody

c)

The Power of Love

50.

"After all, tomorrow is another day!" was the last line in which Oscar-winning Best Picture?

a)

Gone With the Wind

b)

the Great Expectations

c)

The Matrix