Jovana: As Carlo said, it’s hard to tell without knowing specifics. But I suspect X = 0 is either not possible or it’s an extreme value in the range of X (maybe the lowest possible value). The coefficient on X measures the effect at X = 0, and if X = 0 is impossible the coefficient is meaningless. So you can center X about an interesting value — usually its sample average — before squaring it.
Also, one usually includes X^2 to capture a diminishing (or increasing) effect, regardless of whether there are observations on both sides of the turning point. In fact, sometimes it makes little sense to have values to the right of the turning point.
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