(a(i))[2]
Find the value of $a$ for which the equation $y = x^3 - 4x^2 + 4x$ can be written as $y = x(x-a)^2$.
(a(ii))[4]
Sketch the graph of $y = x^3 - 4x^2 + 4x$ on the axes, and mark the values at which it meets the axes.
(b)[7]
Find the equation of the tangent line to the graph of $y = x^3 - 4x^2 + 4x$ when $x = 4$. Give your answer in the form $y = mx + c$.