Răspuns :
Răspuns:
V(-b/2a;-delta/4a)
-b/2a=-2/-2=1
-delta/4a=-(b^2-4ac)/4a=-(4-4*(-1)*2)/-4=-(4+8)/-4=-12/-4=3
V(1;3) apartine cadranului 1
Răspuns:
[tex]\text{cadranul I}[/tex]
Explicație pas cu pas:
f:ℝ→ℝ, f(x)=-x²+2x+2
[tex]\text{V(}x_V,~y_V\text{)},~\text{V - varful parabolei}[/tex]
[tex]x_V=\dfrac{-b}{2a}\\\\x_V=\dfrac{-2}{-2}=1[/tex]
[tex]y_V=\dfrac{-\Delta}{4a}\\\\\Delta=b^2-4ac\\\\\Delta=12\\\\y_V=\dfrac{-12}{-4}\\\\y_V=3[/tex]
[tex]\text{V(1,3)}\implies \text{varful se afla in cadranul I}[/tex]