Zap has coordinates z(-1,5) a(1,3) and p(-2,4) a translaton maps point z to z(1,1) find the coordinates of a and p under this translation

If you have moved z from -1 to +1, you have moved it +2 (2 to the right).  If you move z from 5 to 1 you have moved it down 4.  So your rule here in coordinate form is (+2, -4).  Add 2 to each of the other x coordinates and subtract 4 from each of the other y coordinates to get the new points.  A(3, -1) P(0, 0) Z(1, 1)