| Date | May 2010 | Marks available | 2 | Reference code | 10M.1.sl.TZ2.13 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 13 | Adapted from | N/A |
Question
The graph of y = 2x2 \( - \) rx + q is shown for \( - 5 \leqslant x \leqslant 7\).
The graph cuts the y axis at (0, 4).
Write down the value of q.
The axis of symmetry is x = 2.5.
Find the value of r.
The axis of symmetry is x = 2.5.
Write down the minimum value of y.
The axis of symmetry is x = 2.5.x
Write down the range of y.
Markscheme
q = 4 (A1) (C1)
[1 mark]
\(2.5 = \frac{r}{4}\) (M1)
r = 10 (A1) (C2)
[2 marks]
–8.5 (A1)(ft) (C1)
[1 mark]
\(-8.5 \leqslant y \leqslant 104\) (A1)(ft)(A1)(ft) (C2)
Notes: Award (A1)(ft) for their answer to part (c) with correct inequality signs, (A1)(ft) for 104. Follow through from their values of q and r.
Accept 104 ±2 if read from graph.
[2 marks]
Examiners report
This question was not well answered with few candidates gaining full marks. Many candidates could find the value of q but not r. Although many found the minimum value of y, they could not find the maximum value of the function or express the range correctly.
This question was not well answered with few candidates gaining full marks. Many candidates could find the value of q but not r. Although many found the minimum value of y, they could not find the maximum value of the function or express the range correctly.
This question was not well answered with few candidates gaining full marks. Many candidates could find the value of q but not r. Although many found the minimum value of y, they could not find the maximum value of the function or express the range correctly.
This question was not well answered with few candidates gaining full marks. Many candidates could find the value of q but not r. Although many found the minimum value of y, they could not find the maximum value of the function or express the range correctly.
