Using a graphing tool
We're proceeding to graph each of the cases
case 1) [tex]y=\left|x\right|-9[/tex]
The graph in the attached figure N [tex]1[/tex]
The vertex of the graph is the point [tex](0,-9)[/tex]
The x-intercepts are the points [tex](-9,0)[/tex] and [tex](9,0)[/tex]
case 2) [tex]y=\left|x+4\right|[/tex]
The graph in the attached figure N [tex]2[/tex]
The vertex of the graph is the point [tex](-4,0)[/tex]
The y-intercept is the point [tex](0,4)[/tex]
case 3) [tex]y=\left|x+3\right|-4[/tex]
The graph in the attached figure N [tex]3[/tex]
The vertex of the graph is the point [tex](-3,-4)[/tex]
The y-intercept is the point [tex](0,-1)[/tex]
The x-intercepts are the points [tex](-7,0)[/tex] and [tex](1,0)[/tex]
case 4) [tex]y=-0.5\left|x\right|[/tex]
The graph in the attached figure N [tex]4[/tex]
The vertex of the graph is the point [tex](0,0)[/tex]
