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

Determine the following for the transformed cosine function shown whose period is 1,080 degrees. Frequency: b in the equation: Which could be an equation for this function?

1/1080 1/3 y=cos(x/3)

Which could be the graph of the function?

first graph (the stretched one)

Which is the graph of

second graph

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

1080

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

1st 3rd 4th 7th

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

3

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

360 degrees

Consider the function Which of the following is true?

There is a phase shift to the left

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

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

pi/4 units to the right

Which could be the equation for the function shown in the graph?

y= sin(x- pi/4)