4.3. For the quadratic trinomial $f(x)=a x^{2}+b x+c$, where $a>0$, the condition $|f(1)|=|f(2)|=|f(3)|=3$ is satisfied. What can the coefficients be?
Answer: $a=6, b=-24, c=21$ or $a=3, b=-15, c=15$ or $a=3, b=-9, c=3$