| Date | May 2009 | Marks available | 2 | Reference code | 09M.1.sl.TZ1.7 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | Write down | Question number | 7 | Adapted from | N/A |
Question
The graph of a quadratic function \(y = f (x)\) is given below.
Write down the equation of the axis of symmetry.
Write down the coordinates of the minimum point.
Write down the range of \(f (x)\).
Markscheme
x = 3 (A1)(A1) (C2)
Notes: Award (A1) for “ x = ” (A1) for 3.
The mark for x = is not awarded unless a constant is seen on the other side of the equation.
[2 marks]
(3, −14) (Accept x = 3, y = −14) (A1)(ft)(A1) (C2)
Note: Award (A1)(A0) for missing coordinate brackets.
[2 marks]
y ≥ −14 (A1)(A1)(ft) (C2)
Notes: Award (A1) for y ≥ , (A1)(ft) for –14.
Accept alternative notation for intervals.
[2 marks]
Examiners report
The lack of the answer, “ x = 3 ”, expressed as an equation was a common fault.
Misreading the y coordinate was the common error.
This part proved challenging for many; there was confusion between domain and range for many, the incorrect inequality also was a common error. It is the accepted practice in examinations that if a domain is not specified, then it is taken as the real numbers.
