Question

Find the x-coordinate of the vertex of the graph of the equation y = −3x^2 + 6x + 2.

Answer 1

\(\bf \textit{vertex of a parabola}\\ \quad \\
y = {\color{red}{ -3}}x^2{\color{blue}{ +6}}x{\color{green}{ +2}}\qquad

\left(-\cfrac{{\color{blue}{ b}}}{2{\color{red}{ a}}}\quad ,\quad {\color{green}{ c}}-\cfrac{{\color{blue}{ b}}^2}{4{\color{red}{ a}}}\right)\)