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Answer: first 360 second 1080 third horizontal stretch

Step-by-step explanation:

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The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.

What is the period of a cosine function?

The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:

T = 2π/A

Where:

  • A is the coefficient of the x.

When A = 1, we have:

T = 2π/1 = 360 degrees.

For the graphed function, the period of this cosine function is given by:

T = 6π

T = 6 × 360

T = 1080 degrees.

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