Question

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

f(x)=x
f left parenthesis x right parenthesis equals x

f(x)=x+2
f left parenthesis x right parenthesis equals x plus 2

f(x)=x+5
f left parenthesis x right parenthesis equals x plus 5

f(x)=x−2

Answer 1

To translate the point from \((4, -1)\) to \((6, -1)\), we notice that only the x-coordinate changes from 4 to 6, while the y-coordinate remains the same.

The change in the x-coordinate is:

\[
6 - 4 = 2
\]

This indicates that we are moving the point 2 units to the right, which can be represented by the function:

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

Thus, the function that shows this translation is:

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

So the correct response is:

**f(x) = x + 2**.