2.
$$f ( x ) = 3 + 12 x - 2 x ^ { 2 }$$
- Express \(\mathrm { f } ( x )\) in the form
2. \(\mathrm { f } ( x ) = 3 + 12 x - 2 x ^ { 2 }\) - Express \(\mathrm { f } ( x )\) in the form
$$\begin{aligned}
& \qquad a - b ( x + c ) ^ { 2 }
& \text { where } a , b \text { and } c \text { are integers to be found. }
& \text { he curve with equation } y = \mathrm { f } ( x ) - 7 \text { crosses the } x \text {-axis at the points } P \text { and } Q \text { and crosses }
& \text { te } y \text {-axis at the point } R \text {. }
& \text { F) Find the area of the triangle } P Q R \text {, giving your answer in the form } m \sqrt { n } \text { where } m \text { and }
& n \text { are integers to be found. }
\end{aligned}$$
\(\_\_\_\_\) "