The function \(f\) is defined as \(f(x) = {2x}^{2} - 8x + 8\).

\begin{enumerate}
\item
  \nbPointsEnumi{2}Determine the coordinates of the $y$-intercept.
\item
  \nbPointsEnumi{2}Calculate \(f(2)\)
\item
  \nbPointsEnumi{2}Determine the derivative \(f'(x)\).
\item
  \nbPointsEnumi{3}For what value of \(x\) does the function \(f(x)\) have a turning
  point? State the nature of the turning point and explain your answer.
\item
  \nbPointsEnumi{4}Find the equation of the tangent to the curve at the point $(1, 2)$.
\item
  The point A is a point on the graph of \(f\). The gradient at the
  point A is equal to $12$.
  
\nbPointsEnumi{4}Find the coordinates of the point A.
\end{enumerate}
