Răspuns:
parabola y = ax²+bx+c, x∈R are varful
[tex]V(x_{v} ,y_{v} ), \\x_{v} =\frac{-b}{2a} , \\y_{v} =\frac{-delta}{4a}, \\delta=b^{2} -4ac[/tex]
a) f(x)=2x²-4x+5
[tex]x_{v} =\frac{-(-4)}{2*2} =\frac{4}{4} = 1[/tex]
[tex]delta=b^{2} -4ac=(-4)^{2} -4*2*5=16-40=-24[/tex]
[tex]y_{v} =\frac{-(-24)}{4*2} = \frac{24}{8} =3[/tex]
⇒ [tex]V(x_{v} ,y_{v} ) = V(1,3)[/tex]
in mod asemenator le faci si celelalte subpuncte
