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Here is the graph that shows the transformation of \( y = f(x) \) to \( y = -\frac{1}{2} f\left(\frac{1}{2}x\right) \). It includes the horizontal stretch by 2, vertical compression by \( \frac{1}{2} \), and reflection across the x-axis.

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### Relative Questions:
1. How do you find the inverse of a function graphically?
2. What other transformations can you apply to a function?
3. How do horizontal and vertical shifts affect a function?
4. What happens if you change the signs inside the function (e.g., \( f(-x) \))?
5. Can you explain how to combine multiple transformations in one graph?

### Tip:  
When working with transformations, it's helpful to apply them one step at a time to avoid confusion.

This problem involves graphing y = -\frac{1}{2}f(\frac{1}{2}x), which applies both horizontal and vertical scaling to the function, along with reflection across the x-axis. The graph includes key transformations such as stretching by 2 horizontally and compressing by 1/2 vertically.

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