\documentclass[convert=true,convert={convertexe={convert},density=1200,outext=.png}]{standalone}

\input{figsDefs.tex}

\begin{document}
	
\begin{tikzpicture}%
	\shorthandoff{:}
	\draw[-,blue,thick] plot[id=temp,smooth,domain=-2.5:3.2,samples=30] function{1./48.*(-2*x*x*x-9*x*x+107)} node[left=3pt] {$\Gamma$};
	\shorthandon{:}
	% point 0
	\path (-1,2.083333) node[shape=coordinate] (P0) {};
	\draw[blue,fill=blue] (P0) circle (0.05);%
	\draw[blue] (P0)+(-.35,.2) node {$P_0$};%
	\draw[->,>=latex,thick] (0,0) -- (P0) node[left,pos=0.5] {$\vec{r}(t_0)$};%
	% point 1
	\path (1,2) node[shape=coordinate] (P1) {};
	\draw[blue,fill=blue] (P1) circle (0.05);%
	\draw[blue] (P1)+(.35,.2) node {$P_1$};%
	\draw[->,>=latex,thick] (0,0) -- (P1) node[left,pos=0.8] {$\vec{r}(t_1)$};%
	% point 2
	\path (2.5,0.40625) node[shape=coordinate] (P2) {};
	\draw[blue,fill=blue] (P2) circle (0.05);%
	\draw[blue] (P2)+(.2,.3) node {$P_2$};%
	\draw[->,>=latex,thick] (0,0) -- (P2) node[above,pos=0.5] {$\vec{r}(t_2)$};%
	% origine
	\draw[-] (0,-.1) -- (0,+.1) node[below left,pos=0.6] {$O$};%
	\draw[-] (-.1,0) -- (.1,0) node[below] {};%
\end{tikzpicture}%

\end{document}