Final Answer:
The rule for reflection is represented by option C: lraxis(x, y) → (x, -y).
Therefore, correct answer is C: lraxis(x, y) → (x, -y).
Step-by-step explanation:
In the context of coordinate geometry, reflection is a transformation that involves flipping a figure over a line or axis. The given rule C: lraxis(x, y) → (x, -y) signifies a reflection across the x-axis. When applying this rule to a point (x, y), the reflected point becomes (x, -y), indicating that the y-coordinate is negated while the x-coordinate remains unchanged. This results in a mirror image of the original point across the x-axis.
Understanding transformation rules is crucial in geometry and mathematics, as they provide a systematic way to manipulate and analyze geometric figures. Reflections, along with other transformations, play a fundamental role in various mathematical applications.
Therefore, correct answer is C: lraxis(x, y) → (x, -y).