Higher June 2025 Paper 1R Q21
21 The curve with equation \(y = \mathrm{f}(x)\) has one turning point.
The coordinates of this turning point are \((-6, 9)\)
(a) Write down the coordinates of the turning point on the curve with equation \(y = \mathrm{f}(3x)\) (1)
The curve C with equation \(y = \mathrm{g}(x)\) is transformed to give the curve S with equation \(y = \mathrm{g}(x + a) + b\)
The point \((4, -5)\) on C is mapped to the point \((1, -16)\) on S
(b) Write down the value of \(a\) and the value of \(b\) (2)
| Scheme | Marks |
|---|---|
| \((-2, 9)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(a = 3\) | B1 |
| \(b = -11\) | B1 |
| (2) | |
| (3 marks) |