3 of 153 of 15 Items 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+5 f(x)=x+5 f(x)=x+2 f(x)=x+2 f(x)=x f(x)=x Skip to navigation page 1 of 1

Answer 1

To translate a point on the coordinate plane, you need to determine how the x-coordinates and y-coordinates change.

The point is translated from (4, -1) to (6, -1).

• The x-coordinate changes from 4 to 6. This is an increase of 2.
• The y-coordinate stays constant at -1.

Therefore, the translation can be represented by the function that adjusts the x-coordinate by adding 2 while leaving the y-coordinate unchanged.

The translation can be represented by the function: \[ f(x) = x + 2 \]

Thus, the correct response is: f(x) = x + 2