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The image shows a math exercise related to transformations of functions. The task is asking for the transformation rule using the notation \( r \), which typically represents a reflection or rotation. The question asks for the rule to transform from \( f(x) \) to \( h(x) \) using this notation.

From the visual aid in the image, we can see a graph on the left with a point and some arrows pointing to two transformations: "Transformation 1" and "Transformation 2." There's also a handwritten note that says "y-axis," indicating that one of the transformations might involve a reflection across the y-axis.

To clarify:
- The reflection across the y-axis typically takes the form:  
  \( r(x) = f(-x) \), where the transformation flips the graph over the y-axis.
  
This seems to be part of the solution based on the information provided.

Would you like further clarification or a step-by-step explanation?

Here are 5 follow-up questions to expand the topic:
1. What is the general rule for reflecting a function over the x-axis?
2. How does horizontal translation affect a function's equation?
3. What is the impact of a vertical stretch or compression on a function?
4. Can you describe how a function shifts if you add a constant inside the function's argument \( f(x+c) \)?
5. How do you apply both a reflection and translation in one function transformation?

**Tip:** When reflecting over the y-axis, the function's input is negated: \( f(x) \) becomes \( f(-x) \).

Use the r notation to write the rule for transforming from f(x) to h(x).

Understand how to use r notation to transform the function f(x) to h(x) through reflection across the y-axis. This problem demonstrates core concepts of graphing and function transformations, suitable for students in Grades 9-11.

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