Changes in Period and Phase Shift of Sine and Cosine Functions

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

3

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

360

Which could be the graph of the function?

A

Which of the following have a frequency factor of b = 1?

1,3,4,7

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

1080

Which of the following is true?

A

Which is the graph of

B

Determine the following for the transformed cosine function shown whose period is 1,080 degrees.

Frequency: 1/1080 b in the equation: 1/3

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

Whenever their h values differ by a multiple of the period of the sine function. Since sine has period 2pi, it would happen when the values differ by a multiple of 2pi.

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

horizontal stretch

Which type of transformation of the parent function would be shown by the graph?

horizontal stretch

Which could be an equation for this function?

y= cos(x/3)