# (4) Let S :P+P be the function which sends p(x) to p(x+1); that is, it replaces...

(4) Let S :P+P be the function which sends p(x) to p(x+1); that is, it replaces each occurrence of a in p(x) with r +1. (a) Compute S(x²) and S(q? - 1+1). (b) Plot y = r2 and y= 2). (e) Can you describe what S does to the graph of a polynomial? (d) Show that S is a linear transformation, by showing it preserves addition and it preserves scalar multiplication.

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