What is the vertex in the context of an absolute value function?

In the context of an absolute value function, the vertex refers to the corner point of the graph. An absolute value function typically has a V-shaped graph, and the vertex is where the two lines that compose the V meet, representing the minimum value of the function when it opens upwards, or the maximum when it opens downwards.

This vertex is a critical point because it marks the transition between the decreasing and increasing parts of the function, making it the point of interest when analyzing properties like maximum and minimum values. Additionally, while the graph does intersect the y-axis and has symmetrical properties, these aspects do not capture the essence of what defines the vertex in the geometric sense of absolute value functions.