Graphing Sine and Cosine Answers
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1
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Which function is graphed below?
A
f(x) = –cos(x)B
f(x) = cos(x)C
f(x) = sin(x)D
f(x) = –sin(x)2
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Which set of transformations is needed to graph f(x) = –2sin(x) + 3 from the parent sine function?
A
vertical compression by a factor of 2, vertical translation 3 units up, reflection across the y-axisB
vertical compression by a factor of 2, vertical translation 3 units down, reflection across the x-axisC
reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units upD
reflection across the y-axis, vertical stretching by a factor of 2, vertical translation 3 units down3
What is the period of f(x) = sin(x)?
A
StartFraction pi Over 2 EndFraction
B
Pi
C
StartFraction 3 pi Over 2 EndFraction
D
2 pi
4
Which function describes the graph below?
A
y = 8 cosine (x) + 3
B
y = 4 cosine (x) + 3
C
y = 4 sine (x) + 3
D
y = 8 sine (x) + 3
5
What is the period of f(x) = sin(x)?
A
StartFraction pi Over 2 EndFractionB
PiC
StartFraction 3 pi Over 2 EndFractionD
2 pi6
Which function describes the graph shown below?
A
y = one-half sine (x) minus 2
B
y = 2 sine (x) minus one-half
C
y = one-half cosine (x) minus 2
D
y = 2 cosine (x) minus one-half
8
What is the maximum of f(x) = sin(x)?
A
Negative 2 pi
B
–1C
1D
2 pi
10
What is the domain of f(x) = cos(x)?
A
the set of real numbers
B
the set of real numbers
C
the set of real numbers
D
the set of all real numbersDid you find these answers helpful?
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