Answer
$f(x) =-3(x-9.4)^2+8$
Work Step by Step
Start by graphing the data and the functions in the same figure window.
$$\begin{aligned}
f(x) &= -3(x-8)^2+8 \ ,\ h= 8\\
f(x) &= -3(x-8.4)^2+8 \ ,\ h= 8.4\\
f(x) &= -3(x-9)^2+8 \ ,\ h= 9\\
f(x) &= -3(x-9.4)^2+8 \ ,\ h= 9.4\\
\end{aligned}$$ The graph shows that the parabola that best fit the data is $$f(x) =-3(x-9.4)^2+8.$$
