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I flipped it upside down, it did not look the same. What's wrong? If I rotate it 180 degrees around the origin, it does look the same. If I reflect it through the X axis, aka turning it upside down, the curves have moved to different quadrants.
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You had it right the first time. In the picture you have now the shapes are symmetric with respect to the X axis. NOT with respect to the origin.
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Thanks for catching that error. I have fixed the image. --
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