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.

Let me know if you need further details or explanations!

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.