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Assuming the parabola is of the form y = ax^2 + bx + c or y= a(x-h)^2 - k, you look to the 'a' coefficient to determine whether the parabola has undergone a vertical "stretch" or "shrink." If a>1, then it's a stretch. If 0<a<1, then it's a shrink.

If, by the way, the a is negative, this test still works... just ignore the negative sign. So if for example a = -2/3, it's a shrink, but if a = -3 it's a stretch. (Incidentally, the negative sign makes the parabola "reflect" over the x-axis.)

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