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Let's say that a curve in the plane is even+ if there is some vertical line of symmetry1 . That is, we can fold the

Let's say that a curve in the plane is even+ if there is some vertical line of symmetry1 . That is, we can fold the paper on that line and the two halves of the curve wil l exactly coincide. Prove that y = x2,y = (x+ 3)2 + 5,y = 7 are al l even+. Prove that y = x3 is not even+.

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