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