From the graph of the given equation
the coordinates of the turning point is [tex](-2,-1)[/tex]
The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex](-3,0) \; and \;( -1,0)[/tex]
Given :
the graph of y=x^2 +4x + 3 is shown
The graph of [tex]y=x^2 +4x + 3[/tex] is attached below
From the graph we can see that , the vertex is (-2,-1)
The graph changes direction at the point (-2,-1)
so we can say that there is only one turning point at [tex](-2,-1)[/tex]
Now we find out the roots of the equation
roots are the points where the graph crosses or touches x axis
The graph crosses x axis at [tex]-3 \; and \; -1[/tex]
The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex]-3 \; and \; -1[/tex]
Learn more : brainly.com/question/21105340
