https://file.aiquickdraw.com/mathbot/file/1726166186832k6ty003x.jpg

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

Transform each graph as specified below. Part (a): The graph of y = f(x) is shown. Draw the graph of y = f(1/2x), which represents a horizontal stretch.

Learn how to transform the graph of y = f(x) into y = f(1/2x), which involves a horizontal stretch. This problem covers key concepts in graph transformations and is suitable for high school students in Grades 10-12.

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