[tex]\bf \qquad \textit{vertex of a parabola}\\ \quad \\
\begin{array}{llccll}
y=&3x^2&-24x&+44\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)[/tex]
then pick two points on each side, plot away
