Final answer:
To perform the translation left(x+4,y-1right)(x+4,y−1), we add 4 to the x-coordinates and subtract 1 from the y-coordinates. The new coordinates are P'(3, -2), Q'(4, 3), R'(7, 0), S'(5, -3).
Step-by-step explanation:
To perform the translation left(x+4,y-1right)(x+4,y−1), we simply add 4 to the x-coordinates of the points and subtract 1 from the y-coordinates. Using this transformation, the new coordinates of the points are:
P'(-1+4, -1-1) = P'(3, -2)
Q'(0+4, 4-1) = Q'(4, 3)
R'(3+4, 1-1) = R'(7, 0)
S'(1+4, -2-1) = S'(5, -3)
Now we can plot the original figure and its image after the translation:
Figure ABCD: P(-1,-1), Q(0,4), R(3,1), S(1,-2)
Figure A'B'C'D': P'(3, -2), Q'(4, 3), R'(7, 0), S'(5, -3)