which equation represents the function graphed on the coordinate plane?\n○ g(x)=|x - 4|-10\n○ g(x)=|x +…

Answer:

A. $g(x)=|x - 4|-10$

Explanation:

Step1: Recall vertex - form of absolute value function

The general form of an absolute - value function is $y=a|x - h|+k$, where $(h,k)$ is the vertex of the absolute - value function's graph.

Step2: Identify the vertex of the graph

From the graph, the vertex of the absolute - value function is at the point $(4, - 10)$.

Step3: Match with the general form

In the general form $y=a|x - h|+k$, when $h = 4$ and $k=-10$, the function is $g(x)=|x - 4|-10$. So the equation that represents the function graphed is $g(x)=|x - 4|-10$.