The function $y = |x - 3|$ is an absolute value function. The vertex of this function is at the point where the expression inside the absolute value is zero.

To find the vertex, set $x - 3 = 0$: $x - 3 = 0$ $x = 3$

At $x = 3$, $y = |3 - 3| = 0$. So, the vertex is at the point (3, 0).

Let's start by plotting the vertex on the graph.

Next, to understand the shape of the graph:

• For $x \geq 3$, $y = x - 3$ (the function behaves like a linear function with slope 1).
• For $x < 3$, $y = 3 - x$ (the function behaves like a linear function with slope -1).

The graph of $y = |x - 3|$ forms a "V" shape with the vertex at (3, 0).

Would you like a visual graph of this function? If so, I can create one for you.