| Date | May 2011 | Marks available | 2 | Reference code | 11M.2.sl.TZ1.2 |
| Level | SL only | Paper | 2 | Time zone | TZ1 |
| Command term | Express | Question number | 2 | Adapted from | N/A |
Question
Let \(f(x) = 3{x^2}\) . The graph of f is translated 1 unit to the right and 2 units down. The graph of g is the image of the graph of f after this translation.
Write down the coordinates of the vertex of the graph of g .
Express g in the form \(g(x) = 3{(x - p)^2} + q\) .
The graph of h is the reflection of the graph of g in the x-axis.
Write down the coordinates of the vertex of the graph of h .
Markscheme
\((1{\text{, }} - 2)\) A1A1 N2
[2 marks]
\(g(x) = 3{(x - 1)^2} - 2\) (accept \(p = 1\) , \(q = - 2\) ) A1A1 N2
[2 marks]
\((1{\text{, }}2)\) A1A1 N2
[2 marks]
Examiners report
Most candidates had little difficulty with this question.
Most candidates had little difficulty with this question.
Most candidates had little difficulty with this question. In part (c), a few reflected the vertex in the y-axis rather than the x-axis.
