Answer
Please see the graph.
Work Step by Step
The graph was made using graphing software.
$y=x^2+5x+4$
$x=-b/2a$
$x=-5/2 = -2.5$
$y=x^2+5x+4$
$y=(-2.5)^2+5*(-2.5)+4$
$y=6.25-12.5+4$
$y=-2.25$
$(-2.5, -2.25)$
The green line is the axis of symmetry, and the vertex is labeled.