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Yes, it can.
1 and 8 are symmetrical both horizontally and vertically and 3 is symmetrical horizontally.
Yes. You put three horizontally, put one each above and below (vertically) the middle coin, then stack one coin on top of the center coin.
Their noses are both at the origin, and they both open upward, but y=4x2 is a much skinnier parabola.
Both require the same amount of work