Answer:
(-1,-2)
Explanation:
y=ax^2+bx+c
Find -b/(2a) and you will have found the x-coordinate of the vertex of this parabola.
You can find the y-coordinate that corresponds to it by plugging in your into the original equation.
-b/(2a)=-6/(2*3)=-6/6=-1
Now replace x with -1
3(-1)^2+6(-1)+1
3-6+1
-3+1
-2
So the vertex is (-1,-2)