Question

dada a função f(x)=-x²+5x-6 qual o valor máximo da função​

Answer 1

$\Large\boxed{\begin{array}{l}\sf f(x)=-x^2+5x-6\\\sf a=-1<0\implies admite~m\acute aximo\\\sf\Delta=b^2-4ac\\\sf\Delta=5^2-4\cdot(-1)\cdot(-6)\\\sf\Delta=25-24\\\sf\Delta=1\\\sf y_V=-\dfrac{\Delta}{4a}\\\\\sf y_V=-\dfrac{1}{4\cdot(-1)}\\\\\sf y_V=\dfrac{1}{4}=0,25\end{array}}$