[tex]f(x)=a x^{2} +bx+c \\ O(0,0)\in Gf =\ \textgreater \ c=0 \\ A(3,3)\in Gf=\ \textgreater \ 9a+3b=3 \ \textless \ =\ \textgreater \ 3a+b=1\\ Fmax= \frac{-\Delta}{4a}=1, a\ \textless \ 0 \\ \Delta=b^{2}-4ac \\ c=0=\ \textgreater \ \frac{-b^{2}}{4a} =1 \\ b=1-3a=\ \textgreater \ (1-3a)^{2}=-4a \\ 1-6a+9a^{2}=-4a \\ 9a^{2}-2a+1=0 \\ [/tex]
ceea ce ar insemna ca radacinile sa fie complexe=> nu e corecta cerinta
