Final answer:
The correct answer is option B (2, -3), which represents the reflection of a point across the y-axis by changing the sign of the x-coordinate while keeping the y-coordinate the same.
Step-by-step explanation:
The correct answer is option B (2, -3). To find the reflection of a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. This is because reflecting a point across the y-axis means that the point will move horizontally to the left or right side of the coordinate system, but its vertical position will remain unchanged.
If the original coordinates of Point A are (-2, -3), reflecting Point A across the y-axis involves changing the sign of the x-coordinate from -2 to 2, while the y-coordinate stays the same, at -3. Therefore, the new coordinates after the reflection will be (2, -3).
When reflecting a point across the y-axis, the x-coordinate remains the same but the sign changes. So, if the original point A is (x, y), the reflected point would be (-x, y). In this case, Point A is (2, 3), so the reflection across the y-axis would be (-2, 3).