Find the equation of the axis of symmetry of the graph of $f$.

(i)     Write down the value of $h$.

(ii)     Find the value of $k$.

correct approach     (A1)

eg $\frac{{ - ( - 4)}}{2},{\text{ }}f'(x) = 2x - 4 = 0,{\text{ (}}{x^2} - 4x + 4) + 5 - 4$

$x = 2$ (must be an equation)     A1     N2

[2 marks]

(i)     $h = 2$     A1     N1

(ii)     METHOD 1

valid attempt to find $k$     (M1)

eg$\,\,\,\,\,$$f(2)$

correct substitution into their function     (A1)

eg$\,\,\,\,\,$${(2)^2} - 4(2) + 5$

$k = 1$     A1     N2

METHOD 2

valid attempt to complete the square     (M1)

eg$\,\,\,\,\,$${x^2} - 4x + 4$

correct working     (A1)

eg$\,\,\,\,\,$$({x^2} - 4x + 4) - 4 + 5,{\text{ }}{(x - 2)^2} + 1$

$k = 1$     A1     N2

[4 marks]