Question

obtenha o vertice de cada uma dasparabolas representativas das funçoes quadraticas y=-2×2-6×+4

Answer 1

para obter o vertice da parabola basta usar essas formulas:

x do vertice (Xv):
$x_{v} = \frac{-b}{2.a} -\ \textgreater \ x_{v} = \frac{-(-6)}{2.(-2)} -\ \textgreater \ x_{v}= \frac{6}{-4} --\ \textgreater \ x_{v}=- \frac{3}{2}$

y do vertice (Yv):
$y_{v} = -\frac{delta}{4a} -\ \textgreater \ y_{v} =-\frac{ b^{2}-4.a.c }{4a} -\ \textgreater \ y_{v} =-\frac{ (-6^{2})-4.(-2).4 }{4(-2)} -\ \textgreater \ y_{v} = -\frac{17}{2}$

obs:
delta(Δ)=b²-4.a.c