2026-09-10T00:15:23.794968 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL The point \(P(4, 1)\) is shown on the grid. Work ...
Question 1 Report
The point \(P(4, 1)\) is shown on the grid. Work out the image of the point \(P(4, 1)\) after a reflection in the \(y\)-axis. Then write down the image of \(P\) after a rotation of \(180^\circ\) about the origin. Give both answers as coordinates.
Answer Details
- A reflection in the \(y\)-axis changes the sign of \(x\) but leaves \(y\) unchanged: \[(4,1)\mapsto(-4,1).\] [1 mark]
- A rotation of \(180^\circ\) about the origin changes the signs of both coordinates: \[(4,1)\mapsto(-4,-1).\] [1 mark]
Do not confuse these transformations: reflecting in the \(y\)-axis does not change the vertical coordinate.
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