A robot starts from the origin O(0,0) on the Cartesian plane and makes a series of moves described below. Each unit represents 1 metre.
Step 1 Move 6 units to the right.
Step 2 Move 4 units up.
Step 3 Move 9 units left.
Step 4 Move 3 units down.
Step 5 Move 2 units right.
Step 6 Move 7 units down.
Step 7 Move 4 units right.
Step 8 Move 5 units up.
Answer the following.
(a) Record the coordinates of the robot after each of the eight steps in the order they occur.
(b) What are the final coordinates of the robot? In which quadrant (or on which axis) does the robot finally stand?
(c) If every point on the path traced by the robot is reflected in the y-axis, write the coordinates of the image of the robot’s final position.