4.2. For the quadratic trinomial $f(x)=a x^{2}+b x+c$, where $a>0$, the condition $|f(1)|=|f(2)|=|f(3)|=2$ is satisfied. What can the coefficients be?
Answer: $a=4, b=-16, c=14$ or $a=2, b=-6, c=2$ or $a=2, b=-10, c=10$.