Given the equation
[tex]f(x)=-|x-2|[/tex]
We can first get the x and y-intercepts
The x-intercept is obtained by making f(0), so we will have:
[tex](2,0)[/tex]
The y-intercept is obtained by substituting x=0, so we will have
[tex](0,-2)[/tex]
To get the other points on the graph, we can use the points
[tex]\begin{gathered} (6,-4) \\ (8,-6) \end{gathered}[/tex]
The graph of the function can be obtained as follow
