The graph that represents [tex]f(x) = |x| -2[/tex] is graph (a)
The equation of the graph is represented as:
[tex]f(x) = |x| -2[/tex]
The above function is an illustration of an absolute value function.
An absolute value function is represented as:
[tex]f(x) = a|x - h| + k[/tex]
Where, the vertex of the function is represented by (h,k).
So, by comparing:
[tex]f(x) = a|x - h| + k[/tex] and [tex]f(x) = |x| -2[/tex]
We have:
[tex](h,k) = (0,-2)[/tex]
This means that, the function f(x) has a vertex of (0,-2)
Hence, the graph that represents [tex]f(x) = |x| -2[/tex] is graph (a)
Read more about absolute value function at:
https://brainly.com/question/3381225