Question

which graph represents the function f(x) = |x - 2| - 1

Explanation:

Step1: Find vertex of the function

The vertex form of absolute value function is $f(x)=|x-h|+k$, where $(h,k)$ is the vertex. For $f(x)=|x-2|-1$, $h=2$ and $k=-1$, so vertex is $(2,-1)$.

Step2: Check vertex in graphs

Identify the graph with vertex at $(2,-1)$.

Answer:

The graph with vertex at (2, -1) (assuming it is one of the labeled options; if options are positioned, e.g., "The Bottom Left Graph" if that matches the vertex).

Note: Due to image clarity limitations, if the graph with vertex (2,-1) is the bottom left one (common in such layouts), the answer would be that specific graph. For precise identification, ensure the graph shows the V-shape turning at (2,-1).