Find the equation of the axis of symmetry of the graph of $y = f(x)$.

Write down the value of $c$.

Find the value of $a$ and of $b$.

$x =  - 2$     (A1)(A1)     (C2)

Note:     Award (A1) for $x =$ (a constant) and (A1) for $- 2$.

[2 marks]

$(c = ){\text{ }}5$     (A1)     (C1)

[1 mark]

$- \frac{b}{{2a}} =  - 2$

$a{( - 2)^2} - 2b + 5 = 3$ or equivalent

$a{( - 4)^2} - 4b + 5 = 5$ or equivalent

$2a( - 2) + b = 0$ or equivalent     (M1)

Note:     Award (M1) for two of the above equations.

$a = 0.5$     (A1)(ft)

$b = 2$     (A1)(ft)     (C3)

Note:     Award at most (M1)(A1)(ft)(A0) if the answers are reversed.

Follow through from parts (a) and (b).

[3 marks]