The function that accurately matches the given graph with points (-2, -1), (0, 0), and (2, -1) is g(x) = -|x|. This function reflects the absolute value graph downward. Option B is correct.
The correct function that matches the given graph with points (-2, -1), (0, 0), and (2, -1) is g(x) = -|x|.
This function represents a reflection of the absolute value function about the x-axis, consistent with the observed y-values for the corresponding x-values.
The negative sign in front of the absolute value ensures a downward orientation. The other options do not match the observed points on the graph.
Therefore, option B, g(x) = -|x|, is the accurate representation of the given graph based on the provided points.