A precision machinist is programming a laser cutter to create a V-shaped notch in a steel plate. The notch follows the path of the parent absolute value function, $f(x) = |x|$. The machinist needs to set the laser's start position at the 'vertex,' which is the exact point where the cut changes its angle to form the V-shape. What are the coordinates of this vertex?

A drafting technician is using the parent absolute value function, $f(x) = |x|$, to model the symmetrical ridge of a roofline on a blueprint. To ensure the technical drawing is accurate, match each term related to this function's geometry with its correct coordinate or descriptive property.

Identifying the Vertex of a Symmetrical Path

A civil engineering technician is modeling a V-shaped drainage ditch using the parent absolute value function $f(x) = |x|$. In this model, the point where the ditch's slope changes to form the bottom of the V-shape is called the 'vertex,' and for this specific function, it is located at the origin $(0, 0)$.

A CNC programmer is setting up a toolpath for a V-shaped groove using the basic absolute value function $f(x) = |x|$. The critical starting point where the tool changes direction is called the vertex. For this specific basic function, this vertex point is located exactly at the ____.