Answer
Please see the graph.
Work Step by Step
The graph was made using graphing software.
$y=x^2+4x+3$
vertex:
$x=-b/2a$
$x= -4/2*1$
$x=-2$
$y=x^2+4x+3$
$y=(-2)^2+4*(-2)+3$
$y=4-8+3$
$y=-1$
$(-2,-1)$
The green line shows the axis of symmetry, and the vertex is labeled on the graph.
