The image shows a problem asking to transform a graph. Specifically, it asks you to:

• Part (a): The graph of $y = f(x)$ is given. You're required to draw the graph of $y = f\left(\frac{1}{2}x\right)$, which represents a horizontal stretch.

To help you solve this:

• When you apply $y = f\left(\frac{1}{2}x\right)$, it causes the graph to stretch horizontally by a factor of 2. This means that every point on the graph will be twice as far from the y-axis as it originally was.

You can accomplish this by:

1. Taking every x-coordinate on the given graph and multiplying it by 2.
2. Keeping the y-coordinates the same.

For example:

• If the point $(x, y)$ is on the original graph, the new point will be $(2x, y)$.

Does this make sense so far? Would you like more detailed steps?

Here are 5 questions that expand on this concept:

1. What happens when we apply a horizontal compression instead of a stretch?
2. How does