[tex]\begin{gathered} \text{The equation is} \\ y=-|x-4|+2 \end{gathered}[/tex]
First we'll graph the function
Now, the vertex of the equation is (4,2).
[tex]\begin{gathered} \text{the equation is increasing over (-}\infty,4\rbrack \\ \text{the equation is decreasing over }\lbrack4,\infty) \\ \text{The domain is all the number line! and the range is (-}\infty,2\rbrack \end{gathered}[/tex]
