Resposta:
Raízes = (4,0) e (6,0)
Concavidade voltada para cima, já que a>0
V=(5,-1)
f(2)=8
Explicação passo a passo:
Δ=[tex]b^2-4(a)(c)\\[/tex]
Δ= [tex](-10)^{2}-4(1)(24)[/tex]
Δ= [tex]100-96[/tex]
Δ=4
[tex]x_{1}=\frac{-(-10)+\sqrt{4}}{2(1)}\\\\x_{1}=\frac{10+2}{2}\\\\x_{1} =\frac{12}{2}\\\\x_{1}=6[/tex]
[tex]x_{2}=\frac{-(-10)-\sqrt{4}}{2(1)}\\\\x_{2}=\frac{10-2}{2}\\\\x_{2}= \frac{8}{2}\\\\x_{2}=4[/tex]
[tex]x_{v}=\frac{-b}{2a}\\\\x_{v}=\frac{-(-10)}{2*1}\\\\x_v=\frac{10}{2}\\\\x_v=5[/tex]
[tex]y_v=\frac{-delta}{4a}\\\\y_v=\frac{-4}{4*1}\\\\y_v=\frac{-4}{4}\\y_v=-1[/tex]
[tex]f(2)=2^{2}-10(2)+24\\f(2)=4-20+24\\f(2)=8[/tex]
