AnswersAlgebra 2 MP 234 CHSEvaluating the Six Trigonometric Functions

Graphing Sine and Cosine Answers

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1
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The graph of which function passes through (0,4) and has a minimum value at ?

Question illustration
A
f (x) = sine (x) + 4
Option A
B
f (x) = cosine (x) + 3
Option B
C
f (x) = negative 3 sine (x)
Option C
D
f (x) = 4 cosine (x)
Option D
2
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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
3

Which function is graphed below?

Question illustration
A
f(x) = –cos(x)
B
f(x) = cos(x)
C
f(x) = sin(x)
D
f(x) = –sin(x)
5

What is the range of y = –5sin(x)?

A
all real numbers
Option A
B
all real numbers
Option B
C
all real numbers
Option C
D
all real numbers
Option D
6

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
7

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
8

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

A
Negative 2 pi
Option A
B
–1
C
1
D
2 pi
Option D
10

Which function is graphed below?

Question illustration
A
f(x) = cos(x)
B
f(x) = –cos(x)
C
f(x) = sin(x)
D
f(x) = –sin(x)

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Graphing Sine and Cosine Answers — Algebra 2 MP…