Question

Find the vertex of the graph of the function. f(x) = 3x2 - 24x + 51

Answer 1

The vertex is x=4. You're welcome.

Answer 2

`\bf \qquad \qquad \textit{vertex of a parabola}\\\quad \\\begin{array}{llccll} f(x)=&3x^2&-24x&+51\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)`