The Second-Difference Property Proof Problem: Let f(x) = ax2 + bx + c. Let d be the

Chapter 7, Problem 36

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The Second-Difference Property Proof Problem: Let f(x) = ax2 + bx + c. Let d be the constant difference between successive x-values. Find f(x + d), f(x + 2d), and f(x + 3d). Simplify. By subtracting consecutive y-values, find the three first differences. By subtracting consecutive first differences, show that the two second differences equal the constant 2ad2.

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