Find a Quadratic Function That Best Fits the Data $\begin{array}{c|c|c|c|c}x & 2 & 6 & 8 & 15 \\\hline y & 35 & 95 & 116 & 78\end{array}$

Multiple Choice

Find a quadratic function that best fits the data. Give answers to the nearest hundredth.
- $\begin{array}{c|c|c|c|c}x & 2 & 6 & 8 & 15 \\\hline y & 35 & 95 & 116 & 78\end{array}$

A) $y = - 1.40 x ^ { 2 } + 27.15 x - 14.44$
B) $y = - 0.03 + 3.78 x - 6.74$
C) $y = 1.40 x ^ { 2 } + 27.15 x + 14.44$
D) $y = 5.66 x ^ { 2 } - 39.888 x + 99.29$