A point is translated on the coordinate plane from (4, - 1) to (6, - 1). Which function shows this translation?

Question

(1 point)
O f(x) =x-2
O f(x) =x+5
O f(x) =x+2
• f(x) = x

Answer 1

To determine the function that represents the translation from the point \((4, -1)\) to the point \((6, -1)\), we need to focus on the x-coordinate.

The x-coordinate changes from \(4\) to \(6\), which is an increase of \(2\). Therefore, the translation can be described by the function that adds \(2\) to the input \(x\):

\[ f(x) = x + 2 \]

So the correct answer is:

O f(x) = x + 2.