Question

Use the ray tool to graph f(x)=−|x−2| .First plot the endpoint of the ray, then plot any point on the ray.

Answer 1

Given the equation

`f(x)=-|x-2|`

We can first get the x and y-intercepts

The x-intercept is obtained by making f(0), so we will have:

`(2,0)`

The y-intercept is obtained by substituting x=0, so we will have

`(0,-2)`

To get the other points on the graph, we can use the points

`\begin{gathered} (6,-4) \\ (8,-6) \end{gathered}`

The graph of the function can be obtained as follow