Answer
See the graph
Work Step by Step
$y=3x^2+6x+2$
Find the axis of symmetry and the coordinates of the vertex.
$x=\frac{-b}{2a}=\frac{-6}{2.3}=-1$
The axis of symmetry is $x = -1$. So the x-coordinate of the vertex is -1.
Substitute -1 for x to find the y-coordinate of the vertex.
$y=3(-1)^2+6(-1)+2$
$y=-1$
The vertex is $(-1,-1)$
Find two other points on the graph.
$(0,2)$
$(1,11)$
Graph the vertex and the points we found.
