WorksheetsGraphing Sine and Cosine Vertical Transformations
Total questions: 23
Worksheet time: 1hrs 2mins
Name
Class
Date
1.
Where does the graph of cosine begin?
a)
(0,0)
b)
(0,1)
c)
(0, Pi)
d)
(1, Pi)
2.
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)
3.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
4.
Which trig function does this graph represent?
a)
cos(x-π)
b)
sin(x-π/2)
c)
cos(x)
d)
sin(x)
5.
What is the equation of graph?
a)
y = sin(5x)
b)
y = cos(5x)
c)
y = 5 sin(x)
d)
y = 5 cos(x)
6.
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
7.
What is the equation of this graph?
a)
y=cos2x
b)
y=2sin2x
c)
y=2cos2x
d)
y=2sinx
8.
What is an equation of the graph shown?
a)
y=cos1/2x
b)
y=cos2x
c)
y=sin 1/2 x
d)
y=sin2x
9.
What is the equation of the graph shown?
a)
y=1/2cos2x
b)
y=1/2sin4x
c)
y=1/2cos4x
d)
y=4cos1/2x
10.
What is the amplitude of the function
f(x) = -3cos x ?
f(x) = -3cos x ?
a)
-3
b)
3
c)
6
d)
-6
11.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
12.
What is the phase shift?
y=-2sin(x-π)
y=-2sin(x-π)
a)
π left
b)
π right
c)
none
d)
2π right
13.
What is the range?
y=3cos(2x)
y=3cos(2x)
a)
(-3,3)
b)
[-2,2]
c)
[-3,3]
d)
[3,-3]
14.
Which equation?
a)
y= sin(1/3x)
b)
y= (1/3)sinx
c)
y= 3sinx
d)
y= sin(3x)
15.
Which equation?
a)
y= cos2x
b)
y= (1/2)cosx
c)
y= cos(1/2)x
d)
y= 2cosx
16.
Which equation?
a)
y= -cos(2x)
b)
y= cos(2x)
c)
y= (1/2)cosx
d)
y= (-1/2)cosx
17.
Which function below matches this graph?
a)
-cos3(x)
b)
-3cos(x)
c)
cos(x)-3
d)
cos(x+3)
18.
What is the equation of the graph shown?
a)
y=1/2cos2x
b)
y=1/2sin4x
c)
y=1/2cos4x
d)
y=4cos1/2x
19.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
20.
Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.
a)
y = 5cos(x - pi) + 3
b)
y = 3cos(x - pi) + 5
c)
y = 3cos(2x - pi) + 5
d)
y = 5cos(2x - pi) + 3
21.
Which equation?
a)
cos(1/2 x) + 1
b)
cos(2x) + 1
c)
cos(1/2 x + 1)
d)
cos(2x - 1)
22.
Which equation?
a)
4 sin(1/4 x)
b)
2 sin(2x)
c)
4 sin(1/2 x)
d)
4 cos(x - π/2)
23.
Which equation?
a)
sin(x - π/2)
b)
cos(x)
c)
cos(x + π/2)
d)
4 cos(x)
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