Question

construa o gráfico das funções quadrática f(x)=3x²-x+2​

Answer 1

$f \: (x) + 3 {x}^{2} - x + 2 \\f(x) + ? = 3( {x}^{2} - \frac{1}{3} x + ?) + 2 \\f(x) + ? = 3( {x}^{2} - \frac{1}{3} x + \frac{1}{36} ) + 2 \\ f(x) + 3x \frac{1}{36} = 3( {x}^{2} - \frac{1}{3} x + \frac{1}{36} ) + 2 \\ f(x) + \frac{1}{12} = 3(x - \frac{1}{6} ) {}^{2} + 2 \\ f(x) = 3(x - \frac{1}{6} ) {}^{2} + 2 - \frac{1}{12} \\ f(x) = 3(x - \frac{1}{6} ) {}^{2} + \frac{23}{12}$

R= f ( x ) = 3 ( x - 1/6 )² + 23/12