BECE Mathematics 2017 Paper

Concept:For a $90^{\circ}$ anticlockwise rotation about the origin, every point $(x,y)$ maps to $(-y,x)$.Explanation:The given point is $Q(-2,3)$, so $x = -2$ and $y = 3$.Under the rotation rule for $90^{\circ}$ anticlockwise: $Q(x,y) \rightarrow Q'(-y,x)$.Substitute $x = -2$ and $y = 3$:$Q'(-2,3) \rightarrow Q'(-(3), -2)$.Thus, $Q' = (-3, -2)$.This matches option A.No sign mistake occurs because anticlockwise rotation sends $y$ to the left side with a negative sign, while $x$ remains in the second position.Answer:The coordinates of the image are $(-3,-2)$. Correct option: A. $(-3,-2)$.