The graph that represents the function f(x) = |x| - 4 is (c) an absolute value graph has a vertex at (0, -4).
An absolute function is represented as:
[tex]f(x) = a| x- h| +k[/tex]
Where the vertex is:
[tex]Vertex = (h,k)[/tex]
The function is given as:
[tex]f(x) = |x|-4[/tex]
Rewrite the above function as:
[tex]f(x) = |x + 0|-4[/tex]
Compare [tex]f(x) = |x + 0|-4[/tex] and [tex]f(x) = a| x- h| +k[/tex], we have:
[tex](h,k) = (0,-4)[/tex]
Hence, the graph of [tex]f(x) = |x|-4[/tex] has a vertex of (0,-4)
Read more about absolute value graphs at:
https://brainly.com/question/2166748
