The vertices of polygon abcd are at a(1, 1), b(2, 3), c(3, 2), and d(2, 1). abcd is reflected across the x-axis and translated 2 units up to form polygon a′b′c′d′. match each vertex of polygon a′b′c′d′ to its coordinates.

The vertices of image are A'(1,1), B'(2,-1), C'(3,0) and D'(2,1).

Step-by-step explanation:

Given information: The vertices of polygon ABCD are A(1, 1), B(2, 3), C(3, 2), and D(2, 1).

If a figure reflected across the x-axis, then

The vertices of polygon after reflection are

If a figure translated 2 units up, then

The vertices of polygon after reflection and translation are

ABCD is reflected across the x-axis and translated 2 units up to form polygon A′B′C′D′.

Therefore the vertices of image are A'(1,1), B'(2,-1), C'(3,0) and D'(2,1).