The image asks for a sketch of the points $(0, 5, 2)$, $(4, 0, -1)$, $(2, 4, 6)$, and $(1, -1, 2)$ on a coordinate axis. These are points in 3D space with the format $(x, y, z)$.

Let me explain how to plot these points:

1. Step 1: Identify the coordinate axes. In 3D space, we use three axes:

   • $x$-axis (horizontal)
   • $y$-axis (vertical)
   • $z$-axis (typically perpendicular to the $xy$-plane)

2. Step 2: Plot each point.

   • Point (0, 5, 2):

     • $x = 0$ (on the origin for the $x$-axis),
     • $y = 5$ (upward on the $y$-axis),
     • $z = 2$ (outward from the $xy$-plane).

   • Point (4, 0, -1):

     • $x = 4$ (to the right on the $x$-axis),
     • $y = 0$ (on the $xy$-plane),
     • $z = -1$ (downward, below the $xy$-plane).

   • Point (2, 4, 6):

     • $x = 2$ (right on the $x$-axis),
     • $y = 4$ (upward on the $y$-axis),
     • $z = 6$ (far above the $xy$-plane).

   • Point (1, -1, 2):

     • $x = 1$ (slightly to the right),
     • $y = -1$ (below the $xy$-plane),
     • $z = 2$ (outward from the plane).

I can sketch this graph if you'd like me to generate the 3D coordinate plot. Would you like me to create a visual of this 3D plot?

Here are 5 follow-up questions based on this task:

1. What are the coordinates of the origin in a 3D coordinate system?
2. How would you describe the relationship between the $x$-axis, $y$-axis, and $z$-axis in 3D space?
3. What kind of shape do these points form if connected?
4. How would these points change if translated by $(1, 1, 1)$?
5. What is the distance between the points $(2, 4, 6)$ and $(1, -1, 2)$?

Tip: Always remember to check the signs of each coordinate carefully when plotting points in 3D space!