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

Question

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.