4.4. For the quadratic trinomial $f(x)=a x^{2}+b x+c$, where $a>0$, the condition $|f(1)|=|f(2)|=|f(3)|=4$ is satisfied. What can the coefficients be?
Answer: $a=8, b=-32, c=28$ or $a=4, b=-20, c=20$ or $a=4, b=-12, c=4$