Given:
A(-3,5)
B(-2,2)
C(-4,3)
The rule for reflection across the y-axis is (x,y) → (-x,y)
The reflected image will have the following coordinates.
A(-3,5) → (-(-3),5)) → A'(3,5)
B(-2,2) → (-(-2),2)) → B'(2,2)
C(-4,3) → (-(-4),3)) → C'(4,3)
The student who determined that one of the vertices on the image is (2,2) is correct. He got the coordinate of the reflected vertex of B.