Question

f(x) = -x² + 8x +9 achar o vertice  por favor fazer passo a passo

Answer 1

1) Determine o valor de delta:

$\Delta=8^2-4.(-1)+9=64+36=100$

2)  Determine a abscissa do Vértice:

$x_V=\frac{-b}{2a}=\frac{-8}{2.(-1)}=\frac{-8}{-2}=4$

3) Determine a ordenada do Vértice:

$y_V=\frac{- \Delta}{4a}=\frac{-100}{4.(-1)}=\frac{-100}{-4}=25$

4) Logo V(4,25)