| Exam Board | AQA |
|---|
| Module | C3 (Core Mathematics 3) |
|---|
| Year | 2009 |
|---|
| Session | June |
|---|
| Topic | Modulus function |
|---|
4
- Sketch the graph of \(y = \left| 50 - x ^ { 2 } \right|\), indicating the coordinates of the point where the graph crosses the \(y\)-axis.
- Solve the equation \(\left| 50 - x ^ { 2 } \right| = 14\).
- Hence, or otherwise, solve the inequality \(\left| 50 - x ^ { 2 } \right| > 14\).
- Describe a sequence of two geometrical transformations that maps the graph of \(y = x ^ { 2 }\) onto the graph of \(y = 50 - x ^ { 2 }\).