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jmc

geometry junior

Problem

Circle has its center at point . Circle is reflected across the -axis and then translated 8 units down. What are the coordinates of the image of the center of circle ?
Solution
Since the image is reflected across the -axis first, we will just change the sign of the -coordinate, which will give us . Next the image is shifted down 8 units so we will subtract 8 from the -coordinate, giving our image a final center of .
Final answer
(2, -2)