Question

Determine o valor de n, na função g (x) = nx² +(n+1)x+5 sabendo que o vertice da parabola correspondente tem coordenadas (-1,4)

Answer 1

$g(x)=nx^{2}+(n+1)x+5$

X do vértice:

$X_{v}=-\dfrac{b}{2a}=-1\\\\\\\dfrac{b}{2a}=1\\\\\\\dfrac{n+1}{2n}=1\\\\\\n+1=2n\\\\1=2n-n\\\\\\\boxed{\boxed{n=1}}$

Answer 2

Xv = -b/2a

sendo b = n+1; e a = n, então;

-1 = -(n+1)/2n

n =1