Graphing Sine and Cosine Answers
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1
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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
2
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Which formula gives the x-coordinates of the maximum values for y = cos(x)?
A
for any integer k
B
for
C
for any positive integer k
D
for
3
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 down4
What is the range of f(x) = sin(x)?
A
the set of all real numbers
B
the set of all real numbers
C
the set of all real numbers
D
the set of all real numbers5
The graph of which function passes through (0,4) and has a minimum value at ?
A
f (x) = sine (x) + 4
B
f (x) = cosine (x) + 3
C
f (x) = negative 3 sine (x)
D
f (x) = 4 cosine (x)
6
What is the maximum of f(x) = sin(x)?
A
Negative 2 pi
B
–1C
1D
2 pi
7
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)8
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 numbers9
Which of the following is true for f(x) = 5cos(x) +1?
A
The period of the function is .
B
The function has an amplitude of 2.5.C
A zero of the function is .
D
The range of the function is the set of real numbers .
10
Which function has the given properties below?The domain is the set of all real numbers.One x-intercept is .The amplitude is 4.The point is on the graph.The y-intercept is (0, 0).
A
y = –4sin(x)B
y = –4cos(x)C
y = 4sin(x)D
y = 4cos(x)Did you find these answers helpful?
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