AnswersAlgebra 2 MP 234 CHSGraphing Sine and Cosine

Graphing Sine and Cosine Answers

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1
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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-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
2
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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
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)

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