| Exam Board | Edexcel |
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| Module | AS Paper 1 (AS Paper 1) |
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| Year | 2020 |
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| Session | June |
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| Topic | Quadratic Functions |
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- A curve has equation \(y = \mathrm { g } ( x )\).
Given that
- \(\mathrm { g } ( x )\) is a cubic expression in which the coefficient of \(x ^ { 3 }\) is equal to the coefficient of \(x\)
- the curve with equation \(y = \mathrm { g } ( x )\) passes through the origin
- the curve with equation \(y = \mathrm { g } ( x )\) has a stationary point at \(( 2,9 )\)
- find \(\mathrm { g } ( x )\),
- prove that the stationary point at \(( 2,9 )\) is a maximum.