if vertices A(2,3),B(-2,2) and C(-1,4) are reflecred in the line y=x+1,what are the knew coordinates?(A',B',C')

y = x+1 or x = y - 1

so (x,y) ----> (y-1, x+1)
A(2,3) ---> A'(2, 3) , notice that (2,3) was on y = x+1, so it stays where it is
B(-2,2) ---> B'(1,-1)
C(-1,4) ----> C'(..... , ...)

check the results by graphing it