A translation of (x+1,y)(x+1,y) means for all cooridnates stated, move 1 unit forward on the xx axis, and 0 units forward on the yy axis. The cooridnates given are P(-2,0),L(-1,1),A(0,1),T (-1,0)P(−2,0),L(−1,1),A(0,1),T(−1,0). If I add 1 on the xx-axis of PP, I get
(-2+1,0)=(-1,0)(−2+1,0)=(−1,0), therefore (-1,0)(−1,0) is the new PP coordinate. I then do the same thing to
L (-1+1,1)=(0,1)L(−1+1,1)=(0,1)
A (0+1,1)=(1,1)A(0+1,1)=(1,1), and
T (-1+1,0)=(0,0)T(−1+1,0)=(0,0).
Therfore, the new cooridnates of PLAT are P(-1,0), L(0,1), A(1,1) and T(0,0P(−1,0),L(0,1),A(1,1)andT(0,0. These new coordinates are the same shape, only shifted 1 unit forward in the xx-direction.
I hope I helped!