Answer
Please see the graph.
Work Step by Step
$y=3x^2+6x+2$
The graph was made using graphing software.
Axis of symmetry:
$x=-b/2a$
$x=-6/2*3 = -6/6 =-1$
Vertex:
$y=3(-1)^2+6(-1)+2$
$y=3*1-6+2$
$y=3-4$
$y=-1$
$(-1, -1)$
One more point on the function:
$y=3(1)^2+6(1)+2$
$y=3*1+6+2$
$y=3+8 = 11$
$(1,11)$
