Algebra-2

The correct answer is A. Vertical stretch by a factor of 2.

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

The transformation introduces a vertical stretch by a factor of 2.

To understand this transformation, let's consider the coefficient in front of the cosine function. The coefficient 2 scales the output values by a factor of 2. This means that the amplitude of the graph is doubled, resulting in a vertical stretch.

In general, if we have a function , where