Question

What is the vertex and four additional points, two on each side of the vertex

Answer 1

$\bf \qquad \textit{vertex of a parabola}\\ \quad \\ \begin{array}{llccll} y=&3x^2&-24x&+44\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

then pick two points on each side, plot away