Final answer:
After applying the transformation (x, y) → (−y, x) to the point A(8, −3), the point gets mapped to the new coordinates (3, 8).
Step-by-step explanation:
The student has asked a question regarding mapping of a point through a specific transformation. If a point (x, y) is transformed to (−y, x), we need to apply this rule to the given point A(8, −3).
By applying the transformation rule:
- Replace x with −y, so x becomes 3.
- Replace y with x, so y becomes 8.
After this transformation, the new coordinates will be (3, 8), which is where point A gets mapped to.