Graphing Sine and Cosine Answers

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What is the period of f(x) = sin(x)?

A
StartFraction pi Over 2 EndFraction
Option A
B
Pi
Option B
C
StartFraction 3 pi Over 2 EndFraction
Option C
D
2 pi
Option D
2
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Which function describes the graph shown below?

Question illustration
A
y = one-half sine (x) minus 2
Option A
B
y = 2 sine (x) minus one-half
Option B
C
y = one-half cosine (x) minus 2
Option C
D
y = 2 cosine (x) minus one-half
Option D
3

What is the maximum of f(x) = sin(x)?

A
Negative 2 pi
Option A
B
–1
C
1
D
2 pi
Option D
4

What is the domain of f(x) = cos(x)?

A
the set of real numbers
Option A
B
the set of real numbers
Option B
C
the set of real numbers
Option C
D
the set of all real numbers
5

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-axis
B
vertical compression by a factor of 2, vertical translation 3 units down, reflection across the x-axis
C
reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up
D
reflection across the y-axis, vertical stretching by a factor of 2, vertical translation 3 units down
6

Which formula gives the x-coordinates of the maximum values for y = cos(x)?

A
for any integer k
Option A
B
for
Option B
C
for any positive integer k
Option C
D
for
Option D

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Graphing Sine and Cosine Answers — Algebra 2 MP…