Given,
the graph of the function is shown in above question.
Required
The equation of the graph.
The parent function of the given graph is,
[tex]y=|x|[/tex]
From the graph it is clearly seen that the function is refelcted about x axis.
So, the function becomes
[tex]y=-|x|[/tex]
The function is horizontally compressed by 2.
[tex]y=-2|x|[/tex]
The vertex of the function is at (3,1).
The function of the given graph is,
[tex]\begin{gathered} y-1=-2|x-3| \\ y=-2|x-3|+1 \end{gathered}[/tex]
Hence, the equation of the graph is y = -2|x-3|+1.
