Question

Determine o ponto V(Xv,Yv), vértice da parábola que representa no gráfico das seguintes​ funções​:
a) Y=3x²-4x
b) Y=x²-4

Answer 1

a)
Δ=$b^{2}$-4.a.c
Δ=$(-4)^{2}$-4.3.0
Δ=16

$Xv=\frac{-b}{2a}$
$Xv=\frac{-(-4)}{2.3}$
$Xv=\frac{4}{6}$
$Xv=\frac{2}{3}$

$Yv= \frac{Delta}{4.a}$
$Yv= \frac{16}{4.3}$
$Yv= \frac{16}{12}$
$Yv= \frac{4}{3}$

b)
Δ=$b^{2}$-4.a.c
Δ=$(0)^{2}$-4.1.-4
Δ=0+16
Δ=16

$Xv=\frac{-b}{2a}$
$Xv=\frac{-0}{2.1}$
$Xv=\frac{0}{2}$
Xv=0

$Yv= \frac{Delta}{4.a}$
$Yv= \frac{16}{4.1}$
$Yv= \frac{16}{4}$
Yv=4