Let $a, b, c\in Q^{+}$ satisfying $a>b>c$. Which of the following statement(s) hold true for the quadratic polynomial $f\left(x\right)=\left(a+b-2c\right)x^2+\left(b+c-2a\right) x+\left(c+a-2b\right)$?

Let $f\left(x\right)=a{x}^2+bx+c$. Consider the following diagram. Then

Graph of $y=a{x}^2+bx+c$ is as shown in the figure. If $PQ=9, OR=5$ and $OB=2.5$, then which of the following is/are true?