Q2 — Apply a translation to a single point (2 marks)

Question: The point $P(3, -2)$ is translated by the vector $\begin{pmatrix} -5 \\ 4 \end{pmatrix}$. Find the coordinates of the image point $P'$.

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Mark scheme (2 marks):

• M1: $3 + (-5)$ or $-2 + 4$ seen (correct method on either axis).
• A1: $P'(-2, 2)$ — both coordinates correct, in correct order, written as a coordinate pair.

Accept on diagram if clearly labelled. Penalise once for vector–coordinate confusion (e.g. answer given as a column vector).