Graphing Sine and Cosine Functions

Question 1

Which domain window settings would be appropriate if you wanted to graph the function below in degrees for exactly 3 periods?y = 4sin(3x)

Revolt · Accepted Answer

A: Xmin = –90 Xmax = 270

Question 2

Which equation matches this description?

Revolt · Accepted Answer

D:

Question 3

Which of the following statements are true? Check all that apply.

Revolt · Accepted Answer

A: The amplitude is; D: The graph is compressed horizontally by a factor of; E: The equation of the graph is

Question 4

Which of the following statements are true? Check all that apply.

Revolt · Accepted Answer

A: The graph is symmetric about the y-axis.; B: The function decreases on the interval (0, 4π).; E: The graph has x-intercepts at x = 2π and x = 6π.

Question 5

The function represented by the table has the form y = acos(bx). Which of the following statements are true? Check all that apply.

Revolt · Accepted Answer

A: The function increases on the interval (π, 2π).; C: The frequency is; D: The maximum value of the function is 6.

Question 6

Which of the following statements are true? Check all that apply.

Revolt · Accepted Answer

B: The graph is stretched vertically by a factor of 5.; D: The graph is stretched horizontally by a factor of 2.; E: The period is 4π.

Question 7

A group of students uses a rope swing to cross back and forth over a stream.The total distance the swing travels is 16 feet. What is the amplitude of the cosine function that models this motion?

Revolt · Accepted Answer

B: 8 feet

Question 8

The graph models a weight bobbing up and down on a spring. How far does the weight travel, going from maximum displacement to minimum displacement?

Revolt · Accepted Answer

B: 4 inches

Graphing Sine and Cosine Functions Answers

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