What are the new coordinates of the figure shown if it is translated 3 units to the right and then reflected over the x-axis?
A.(6,7), (6,3), (8,3)
B. (6,-7), (6,-7), (8,-7)
C. (6,-7), (6,-3), (8,-3)
D. (0,7), (0,3), (-2, 3)
To find the new coordinates of the figure after being translated 3 units to the right and then reflected over the x-axis, we need to apply both transformations to the original coordinates.
Let's first add 3 units to the x-coordinate of each point to translate it 3 units to the right:
Original coordinates: (3,7), (3,3), (5,3)
Now, to reflect each point over the x-axis, the y-coordinate of each point will change sign:
New coordinates: (6,-7), (6,-3), (8,-3)
Therefore, the correct answer is C. (6,-7), (6,-3), (8,-3).