Explanation:
When moving left, subtract from the x-coordinate and when moving right, add in the x-coordinate. When moving down, subtract from the y-coordinate and when moving up, add in the y-coordinate.
1) Given point = (0, 0). 3 units right and 4 units down means (0+3, 0-4) = (3, -4).
2) Given point = (5, 2). 4 units left and 2 units down means (5-4, 2-2) = (1, 0).
3) Given point = (-6, -1). 8 units right and 5 units up means (-6+8, -1+5) = (2, 4).
4) In Quadrant II, the x-coordinate is negative and the y-coordinate is positive. So taking R = (-6,6). 2 units right and 6 units down means (-6+2, 6-6) = (-4, 0).
5) In Quadrant IV, the x-coordinate is positive and the y-coordinate is negative. So taking R = (6,-6). 7 units left and 4 units up means (6-7, -6+4) = (-1, -2).