Changes in Period and Phase Shift of Sine and Cosine Functions

Question 1

Question 1

Revolt · Accepted Answer

1/1,080; 1/3

Question 2

What is the period of the cosine function shown in the graph? degrees

Revolt · Accepted Answer

1080

Question 3

Which could be an equation for this function?y = cos(x – 3)y = cos(x/3)y = cos(3x)

Revolt · Accepted Answer

y = cos(x/3)

Question 4

What is the period of the parent cosine function, y = cos(x)? degrees

Revolt · Accepted Answer

Part 1: 360; Part 2: 1080; 360

Question 5

Which type of transformation of the parent function is shown by the graph?

Revolt · Accepted Answer

horizontal stretch

Question 6

Determine the following for the transformed cosine function shown whose period is 1,080 degrees.Frequency: 1/1,0801/5405401,080

Revolt · Accepted Answer

1/1,080; Selection 1: 1/1,080; Selection 2: 1/3

Question 7

The period of a function is 4 pi .How many cycles of the function occur in a horizontal length of 12 pi ?

Revolt · Accepted Answer

3

Question 8

From the parent function y = sin(x), the function shown in the graph is shifted

Revolt · Accepted Answer

units to the right.

Question 9

Consider the function y = cosine (x + StartFraction pi Over 6 EndFraction) Which of the following is true?

Revolt · Accepted Answer

There is a phase shift to the left.

Question 10

When would two sine functions of the form y = sin(x – h) that have different values for h have the same graph? Explain.

Revolt · Accepted Answer

The period of the function is ,so every ,the cycle will be again. If the h-values differ by multiples of ,the function will have the same graph.

Changes in Period and Phase Shift of Sine and Cosine Functions Answers