Algebra-2

The correct answer is A. Vertical stretch by a factor of 2 and a horizontal compression by a factor of 3.

The parent function is given by , where represents the input variable.

The transformation involves two main components:

1. Vertical stretch by a factor of 2:
The coefficient 2 in front of the cosine function indicates a vertical stretch. It multiplies the output values by 2, resulting in an amplification of the amplitude. This stretches the graph vertically.

2. Horizontal compression by a factor of 3:
Inside the cosine function, we have

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