Any scatterplot that exhibits curvature can be straightened by the method of transformations.
Let L : P2 P3 be a linear transformation for which we
know that L(1) = 1, L(t) = t 2, L(t 2) = t 3 + t.
(a) Find L(2t 2 - 5t + 3). (b) Find L(at 2 + bt + c).