| Exam Board | AQA |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2005 |
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| Session | June |
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| Topic | Quadratic Functions |
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2
- Express \(x ^ { 2 } - 6 x + 16\) in the form \(( x - p ) ^ { 2 } + q\).
- A curve has equation \(y = x ^ { 2 } - 6 x + 16\).
Using your answer from part (a), or otherwise:
- find the coordinates of the vertex (minimum point) of the curve;
- sketch the curve, indicating the value where the curve crosses the \(y\)-axis;
- state the equation of the line of symmetry of the curve.
- Describe geometrically the transformation that maps the graph of \(y = x ^ { 2 }\) onto the graph of \(y = x ^ { 2 } - 6 x + 16\).