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 $f(-x)$.