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No, most half pipes are best described as two quarter circles connected by a flat in between and straight vertical extensions at the top. This is mostly for ease of construction, as building smooth consistent parabolas is quite technical, especially compared with the ease of building circles with constant radius. The difference in the smoothness of transition would be negligible, although not zero.

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Q: Would a half pipe for skateboarding be considered a parabola?
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Related questions

What is half of parabola?

A curve. It would be called a parabolic curve.


Is a half pipe a maneuver in downhill skateboarding?

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