Provide an Appropriate Response $$\begin{array} { c | c } x & y \\\hline 1 & 0 \\\hline 3 & 3 \\\hline 9 & 12 \\\hline 27 & 27 \\\hline 81 & 48\end{array}$$

Essay

Provide an appropriate response.
-Verify that the following data points give constant second differences. Does this guarantee that the points fit
exactly on a quadratic function? Why or why not? $$\begin{array} { c | c } x & y \\\hline 1 & 0 \\\hline 3 & 3 \\\hline 9 & 12 \\\hline 27 & 27 \\\hline 81 & 48\end{array}$$