quadratic y -2 5 -1 -3.5 -8 1 -8.5 -5 3 2.5 4 14 Find the equation of the function of the specified type that is the best fit for the given data. y(x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following table of values for a quadratic function:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-2 & 5 \\
-1 & -3.5 \\
0 & -8 \\
1 & -8.5 \\
2 & -5 \\
3 & 2.5 \\
4 & 14 \\
\hline
\end{array}
\]

**Task:**
Find the equation of the quadratic function that is the best fit for the given data.

**Solution:**
Input your solution for \( y(x) \) into the box provided:

\[ y(x) = \_\_\_\_ \]
Transcribed Image Text:Consider the following table of values for a quadratic function: \[ \begin{array}{|c|c|} \hline x & y \\ \hline -2 & 5 \\ -1 & -3.5 \\ 0 & -8 \\ 1 & -8.5 \\ 2 & -5 \\ 3 & 2.5 \\ 4 & 14 \\ \hline \end{array} \] **Task:** Find the equation of the quadratic function that is the best fit for the given data. **Solution:** Input your solution for \( y(x) \) into the box provided: \[ y(x) = \_\_\_\_ \]
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