Graphing Sine and Cosine

Question 1

Which of the functions is graphed?

Revolt · Accepted Answer

y = –0.5sin(x) + 1

Question 2

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

Revolt · Accepted Answer

The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1. The maximum of y = –2sin(x) – 1 is 1, the minimum is –3, and the amplitude is 2.

Question 3

So, a is .

Revolt · Accepted Answer

positive

Question 4

Maximum:

Revolt · Accepted Answer

4

Question 5

What is the range of y = 3sin(x)?

Revolt · Accepted Answer

negative 3 less-than-or-equal-to y less-than-or-equal-to 3

Question 6

Amplitude:

Revolt · Accepted Answer

4

Question 7

What is the range of y = –3sin(x)?

Revolt · Accepted Answer

Negative 3 less-than-or-equal-to y less-than-or-equal-to 3

Question 8

Identify which are zeroes of the function.

Revolt · Accepted Answer

Answer image: https://r16.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3111-13-08-20-03-task/mr001-1.jpg; Answer image: https://r16.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3111-13-08-20-03-task/mr001-2.jpg

Question 9

What is the range of y = –3sin(x) – 2?

Revolt · Accepted Answer

Negative 5 less-than-or-equal-to y less-than-or-equal-to 5

Graphing Sine and Cosine Answers

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