To shift a triangle (or any geometric figure) 2 units to the right on a coordinate grid, you need to adjust the x-coordinate of the points in the shape. The transformation function for shifting right is given by:
\( f(x) = x - 2 \)
This means that for every x-value in your original triangle, you will replace it with \( x - 2 \) in order to shift the triangle 2 units to the right.
So the correct response is:
f(x) = x - 2