Answer:
AI-generated answer
The transformation representing a reflection over the y-axis is: (x, y) → (-x, y).
When we reflect a point over the y-axis, we essentially flip the point across the vertical line of the y-axis. This means that the x-coordinate of the point is negated while the y-coordinate remains the same.
For example, let's consider the point (2, 3). When we reflect this point over the y-axis, the x-coordinate becomes -2 while the y-coordinate remains 3. So, the reflected point is (-2, 3).
Similarly, if we have the point (-5, -2) and reflect it over the y-axis, the x-coordinate changes to 5 while the y-coordinate remains -2. Therefore, the reflected point is (5, -2).
In general, the transformation (x, y) → (-x, y) represents a reflection over the y-axis, where the x-coordinate of the point is negated while the y-coordinate remains the same.