To find the function that describes the translation of the point from (4, -1) to (6, -1), we need to focus on the x-coordinate, since the y-coordinate remains the same.
The x-coordinate changes from 4 to 6. This change can be described mathematically as follows:
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The transformation can be seen as translating the x-coordinate by adding 2. In other words:
\[ x' = x + 2 \]
where \( x \) is the original x-coordinate and \( x' \) is the new x-coordinate.
So, the correct function that represents this translation is:
\[ f(x) = x + 2 \]
Therefore, the answer is:
A. f(x) = x + 2