Question

what are the coordinates of the vertex of the graph of the function y=-x^2+6x-11

Answer 1

which are you familar with..

1. completeing the square

2. finding the line of symmetry and substituting..?

Answer 2

\(\bf \textit{vertex of a parabola}\\ \quad \\
y = {\color{red}{ -1}}x^2{\color{blue}{ +6}}x{\color{green}{ -11}}\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)\)

Answer 3

or as campbell_st suggested