1MA0 Higher November 2014 Paper 1 Q25
25

The diagram shows part of the curve with equation \(y = \mathrm{f}(x)\).
The coordinates of the minimum point of this curve are \((3, -4)\)
Write down the coordinates of the minimum point of the curve with equation
(i) \(y = \mathrm{f}(x) + 3\)
(ii) \(y = \mathrm{f}(2x)\)
(iii) \(y = \mathrm{f}(-x)\) (3)
| Answer | Mark | Notes |
|---|---|---|
| (i) \((3, -1)\) | B1 cao | |
| (ii) \((1.5, -4)\) | B1 for \((1.5, -4)\) accept 1.5 or \(\tfrac{3}{2}\) or \(1\tfrac{1}{2}\) for \(x\) coordinate | |
| (iii) \((-3, -4)\) | 3 | B1 cao |