What is f(2x) transformation?

The transformation f(2x) represents a horizontal compression of the original function f(x) by a factor of 1/2. This means that the graph of f(2x) is squeezed towards the y-axis compared to the graph of f(x).

Here's a breakdown:

• Compression Factor: The factor inside the function argument (in this case, 2) dictates the compression. A value greater than 1 results in a horizontal compression. The x-values are essentially "halved". For example, if f(x) has a point at (4, y), then f(2x) will have a point at (2, y).

• How it works: To sketch f(2x), take each x-coordinate on the graph of f(x) and multiply it by 1/2. The y-coordinates remain unchanged.

• Visual Example: Imagine f(x) is a wave. f(2x) will be the same wave, but with twice the frequency, compressed horizontally.

• Important Note: This is a horizontal transformation, so only the x-values are affected. The y-values remain the same.

• Related Concepts: Understanding horizontal%20transformations in general, including both compressions and stretches, is crucial. You should also be familiar with function%20transformations overall. Also, explore graphical%20transformations for visual understanding. Understanding scaling is also important in this subject.