| Exam Board | OCR |
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| Module | C1 (Core Mathematics 1) |
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| Topic | Quadratic Functions |
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2. The curve \(C\) has the equation
$$y = x ^ { 2 } + a x + b$$
where \(a\) and \(b\) are constants.
Given that the minimum point of \(C\) has coordinates \(( - 2,5 )\), find the values of \(a\) and \(b\).