examday

/TMUA

A line which passes $(0,0)$ is drawn tangent to the quadratic function $x^2-3x+b$ at the point on the curve where $x=1$. Another line which passes $(3,0)$ is also drawn tangent to this curve.

What is the value of the total area of $S$, $R$ and $Q$?

(Notice: $P$ is not included.)