9231 P13 - Jun 2023 - Q07 - 13 marks
4219
The curve C has equation \(y = \frac{x^2 + 2x + 1}{x - 3}\).
- Find the equations of the asymptotes of C.
- Find the coordinates of the turning points on C.
- Sketch C.
- Sketch the curves with equations \(y = \left| \frac{x^2 + 2x + 1}{x - 3} \right|\) and \(y^2 = \frac{x^2 + 2x + 1}{x - 3}\) on a single diagram, clearly identifying each curve.
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