To translate a point on the coordinate plane, you need to determine how the x-coordinates and y-coordinates change.
The point is translated from (4, -1) to (6, -1).
- The x-coordinate changes from 4 to 6. This is an increase of 2.
- The y-coordinate stays constant at -1.
Therefore, the translation can be represented by the function that adjusts the x-coordinate by adding 2 while leaving the y-coordinate unchanged.
The translation can be represented by the function: \[ f(x) = x + 2 \]
Thus, the correct response is: f(x) = x + 2