WorksheetsUnit 1B: Graphing Sine and Cosine Functions
Total questions: 20
Worksheet time: 13mins
Name
Class
Date
1.
What is the amplitude of the following equation?
y=1/2(cos2x)+3
y=1/2(cos2x)+3
a)
3
b)
1/2
c)
1/3
d)
2
2.
What is the period of the following equation?
3sin(1/3x+pi/2)
3sin(1/3x+pi/2)
a)
3pi
b)
4pi
c)
1/2pi
d)
6pi
3.
Which letter represents the midline?
y=Asin(B(x-C)) + D
y=Asin(B(x-C)) + D
a)
A
b)
D
c)
C
d)
B
4.
What is the midline of this equation?
y= -1/2cos(2x)+3
y= -1/2cos(2x)+3
a)
y=3
b)
y= 1/2
c)
y=2
d)
y=-4
5.
If the maximum of a trigonometric graph is 6 and it has an amplitude of 5, what is the minimum?
a)
-4
b)
2
c)
3
d)
-2
6.
What is the equation of a cosine function with amplitude 2, period pi, and phase shift pi/2?
a)
y= 2cos(3x - 2pi)
b)
y= -2cos(2x - pi/2)
c)
y=2cos(2x - pi)
d)
y=-2cos(x/2 - pi/4)
7.
What is the phase shift of the following equation?
2sin3x
2sin3x
a)
there is no phase shift
b)
left 3
c)
up 2
d)
right 3
8.
What is the amplitude of this trigonometric graph?
a)
3
b)
2
c)
-2
d)
-3
9.
If the minimum of a trigonometric graph is 0 and it has an amplitude of 4, what is the maximum?
a)
7
b)
8
c)
6
d)
5
10.
what is the phase shift and vertical shift of the following equation?
y=-5sin(2x + pi/4) -3
y=-5sin(2x + pi/4) -3
a)
left pi/8; down 3
b)
right pi/8; down 3
c)
left pi/8; up 3
d)
right pi/8; up 3
11.
What is the phase shift for the following cosine graph?
a)
no phase shift
b)
pi/4
c)
2pi
d)
pi/2
12.
What is the equation of a sine function with a period pi, midline y=0, amplitude 4, and phase shift pi/2?
a)
y=4sin(x - pi)+1
b)
y= 4sin(2x - pi) +1
c)
y=4cos(2x - pi) +1
d)
y=4sin(x + pi) +1
13.
What is the period of the following equation?
-2sin(x - pi)
-2sin(x - pi)
a)
3pi
b)
pi
c)
2pi
d)
1/2 pi
14.
What are a, b, h, and k of the following equation?
-3sin(4x + pi) -2
-3sin(4x + pi) -2
a)
a=3, b=4, h= pi/4, k= y=-2
b)
a=4, b=3, h= pi/4, k= y=-2
c)
a=3, b= 4, h= -2, k= y=4
d)
a= 3, b= 4, h= pi/4, k= y=4
15.
What type of trigonometric graph is this?
a)
secant
b)
tangent
c)
cosine
d)
sine
16.
True or false: The graph of sin(6x) has half the period of the graph y= sin(3x)
a)
False
b)
True
17.
what is the amplitude of the following equation?
y= -1/2 cos(2x) +3
y= -1/2 cos(2x) +3
a)
-1/2
b)
2
c)
-2
d)
1/2
18.
If the maximum of a trigonometric function is -4 and the amplitude is 5, what is the minimum?
a)
-13
b)
-12
c)
-10
d)
-11
19.
What are the vertical and horizontal shifts of the following equation?
y=sin (2x + pi/3) +2
y=sin (2x + pi/3) +2
a)
left pi/6, down 2
b)
right pi/6, up 2
c)
left pi/6, up 2
d)
right pi/6, down 2
20.
What are the amplitudes of the following equations?
y= -2cosx
y= 3cosx
y= -2cosx
y= 3cosx
a)
-2; 3
b)
2;-3
c)
-2; -3
d)
2; 3
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