| Exam Board | AQA |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2013 |
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| Session | January |
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| Topic | Quadratic Functions |
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4
- Express \(x ^ { 2 } - 6 x + 11\) in the form \(( x - p ) ^ { 2 } + q\).
- Use the result from part (a)(i) to show that the equation \(x ^ { 2 } - 6 x + 11 = 0\) has no real solutions.
- A curve has equation \(y = x ^ { 2 } - 6 x + 11\).
- Find the coordinates of the vertex of the curve.
- Sketch the curve, indicating the value of \(y\) where the curve crosses the \(y\)-axis.
- Describe the geometrical transformation that maps the curve with equation \(y = x ^ { 2 } - 6 x + 11\) onto the curve with equation \(y = x ^ { 2 }\).