Minh owns a restaurant that has geometric art designs on the floor that were created by her brother Marco. The designs have been very popular among the customers, and Minh is considering adding designs to her ceiling. Minh has only painted one geometric design on her ceiling when she realizes she needs help. She asks Marco for advice and assistance.
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Minh wants to add another graphic on the ceiling. She has a pentagon ABCDE located at
A(4, 9), B(6, 7), C(6, 4), D(3, 4), and E(2, 6). To make the other pentagon, Minh wants to reflect pentagon ABCDE over the y-axis. Next, she wants to dilate it by a factor of 2, using the origin as the center of the dilation. Finally, she wants to translate it 15 units down and 2 units right to get the location of the final graphic. What is the location of the new graphic? Show your work or explain.