what is the period of the parent cosine function, y = cos(x)?\n360 degrees\nwhat is the period of the cosine…

what is the period of the parent cosine function, y = cos(x)?\n360 degrees\nwhat is the period of the cosine function shown in the graph?\n720 x ⇒ 1080 degrees\ncomplete\nwhich type of transformation of the parent function is shown by the graph?\nvertical stretch\nvertical compression\nvertical shift\nhorizontal stretch\nhorizontal compression\nhorizontal shift

what is the period of the parent cosine function, y = cos(x)?\n360 degrees\nwhat is the period of the cosine function shown in the graph?\n720 x ⇒ 1080 degrees\ncomplete\nwhich type of transformation of the parent function is shown by the graph?\nvertical stretch\nvertical compression\nvertical shift\nhorizontal stretch\nhorizontal compression\nhorizontal shift

Answer

Explanation:

Step1: Recall period of parent cosine

The period of the parent - function $y = \cos(x)$ is $360$ degrees. This is a well - known property of the cosine function.

Step2: Analyze graph period

From the graph, we can see that one complete cycle of the cosine - like function occurs over an interval of $1080$ degrees. So the period of the function in the graph is $1080$ degrees.

Step3: Identify transformation

The period of the parent function $y=\cos(x)$ is $360$ degrees and the period of the function in the graph is $1080$ degrees. Since the period has increased, and the period is related to the horizontal scale of the function, this is a horizontal stretch.

Answer:

  1. $360$ degrees
  2. $1080$ degrees
  3. horizontal stretch