Answer
$f(x) =2(x+1.5)^2-20$
Work Step by Step
Start by graphing the data and the functions in the same figure window.
$$\begin{aligned}
f(x) &= 2(x+1)^2-20 \ ,\ h= -1\\
f(x) &= 2(x+1.2)^2-20 \ ,\ h= -1.2\\
f(x) &= 2(x+1.5)^2-20 \ ,\ h= -1.5\\
f(x) &= 2(x+1.8)^2-20 \ ,\ h= -1.8\\
\end{aligned}$$ The graph shows that the parabola that best fit the data is $$f(x) =2(x+1.5)^2-20.$$
