Question

f(x) = -x^2 + 2x + 2

Answer 1

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

Answer 2

Răspuns:

    $\text{cadranul I}$

Explicație pas cu pas:

    f:ℝ→ℝ, f(x)=-x²+2x+2

    $\text{V(}x_V,~y_V\text{)},~\text{V - varful parabolei}$

    $x_V=\dfrac{-b}{2a}\\\\x_V=\dfrac{-2}{-2}=1$

    $y_V=\dfrac{-\Delta}{4a}\\\\\Delta=b^2-4ac\\\\\Delta=12\\\\y_V=\dfrac{-12}{-4}\\\\y_V=3$

    $\text{V(1,3)}\implies \text{varful se afla in cadranul I}$