| Exam Board | AQA |
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| Module | C3 (Core Mathematics 3) |
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| Year | 2008 |
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| Session | January |
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| Topic | Modulus function |
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7
- Describe a sequence of two geometrical transformations that maps the graph of \(y = x ^ { 2 }\) onto the graph of \(y = 4 x ^ { 2 } - 5\).
- Sketch the graph of \(y = \left| 4 x ^ { 2 } - 5 \right|\), indicating the coordinates of the point where the curve crosses the \(y\)-axis.
- Solve the equation \(\left| 4 x ^ { 2 } - 5 \right| = 4\).
- Hence, or otherwise, solve the inequality \(\left| 4 x ^ { 2 } - 5 \right| \geqslant 4\).