A translation in R2 is a function of the form T(x, y) = (x − h, y − k), where at least one of the constants h and k is nonzero.(a) Show that a translation in R2 is not a linear transformation.(b) For the translation T(x, y) = (x − 2, y + 1), determine the images of (0, 0), (2, −1), and (5, 4).(c) Show that a translation in R2 has no fixed points.

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