Answer
$f\left( x \right)=a{{x}^{2}}+bx+c,a>0$
Work Step by Step
In the provided line graph, it is observed that the data points appear to represent the right half of a quadratic function that opens upward.
Thus, the quadratic function $f\left( x \right)=a{{x}^{2}}+bx+c,a>0$ can be used to model the data.