Final answer:
The reflection rule for the y-axis is (x, y) → (-x, y), and for the x-axis is (x, y) → (x, -y), with option B having a typo that should be corrected.
Step-by-step explanation:
The student is asking about the rule for reflection across the x-axis and y-axis in Mathematics. The correct rule for a reflection across the y-axis is represented by option B) which states that for any point (x, y), the reflection across the y-axis is represented by the coordinated pair (-x, y). However, this option seems to have a typo, as it should not include a plus sign. For a reflection across the x-axis, as given in option C), the rule is that the point (x, y) transforms into (x, -y). Therefore, with the typo corrected, the reflection rules for the x-axis and y-axis are C) x-axis(x, y) → (x, -y) and B) (without the plus sign) y-axis(x, y) → (-x, y).