Question

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

A. f (x)=x+2
B. f (x)=x+5
C. f (x)=x−2
D. f (x)=x

Answer 1

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:

- 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**