Question

what are the coordinates of the vertex of the graph of the function y = -3x^2-12x+3
a. -2,29
b. 2,-15
c. 2,-9
d. -2,15

Answer 1

\(\bf \textit{vertex of a parabola}\\ \quad \\
y = {\color{red}{ -3}}x^2{\color{blue}{ -12}}x{\color{green}{ +3}}\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)\)