AnswersAZ-Common Core Algebra II BGraphing Sine and Cosine

Graphing Sine and Cosine Answers

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14

Which is the graph of y = –cos(x) – 2?

A
Option
B
Option
C
Option
15

The amplitude of the graph is .

Answers:
The amplitude of the graph is:2
The midline is y =:4
16

Which of the functions is graphed?

A
y = –0.5cos(x) – 1
B
y = –0.5sin(x) + 1
C
y = 0.5sin(x) – 1
D
y = 0.5cos(x) + 1
17

Explain how the graph of y = –2sin(x) – 1 differs from the parent function. Make sure to compare key points used for graphing.

Answer:

The graph is vertically stretched by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The parent function has maximum 1, minimum −1, and amplitude 1, while the transformed graph has maximum 1, minimum −3, and amplitude 2. Its key points change from (0, 0), (π/2, 1), (π, 0), (3π/2, −1), (2π, 0) to (0, −1), (π/2, −3), (π, −1), (3π/2, 1), (2π, −1).

18

Maximum:

Answer:

4

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Graphing Sine and Cosine Answers — AZ-Common…