Answer
True.
Work Step by Step
The graph of the quadratic function $f(x)=ax^{2}+bx+c$ is a parabola
with its vertex at $(\displaystyle \frac{-b}{2a}, f(\displaystyle \frac{-b}{2a}))$.
$....................................$
Here, the vertex has x-coordinate:
$x=-\displaystyle \frac{b}{2a}=-\frac{-6}{2(1)}=3.$
The statement is true.
