Question

encontre a vértice da parábola f(x)=-x²-3x+5

Answer 1

O vértice da função quadrática é dado por:

$Vertice:~~(V_x~,~V_y)~=~\left(\frac{-b}{2a}~,~\frac{-\Delta}{4a}\right)\\\\\\Vertice:~~(V_x~,~V_y)~=~\left(\frac{-(-3)}{2~.~(-1)}~,~\frac{-(~(-3)^2-4.(-1).5~)}{4~.~(-1)}\right)\\\\\\Vertice:~~(V_x~,~V_y)~=~\left(\frac{3}{-2}~,~\frac{-(~9+20~)}{-4}\right)\\\\\\Vertice:~~(V_x~,~V_y)~=~\left(-1.5~,~\frac{(~29~)}{4}\right)\\\\\\\boxed{Vertice:~~(V_x~,~V_y)~=~\left(-1.5~,~7.25\right)}$