Question

Determine as cordenadas da vertice das seguintes funções
A) y=2x²+3x+1
B) f(x)=-x²+3x+4
C)f(x)=-3x+4x-1

Answer 1

a) 2x^2+3x+1=0
delta=b^2-4ac
delta=3^2-4.2.1
delta=9-8
delta=1
xv=-b/2a
xv=-3/2.2
xv=-3/4
yv=-delta/4a
yv=-1/4.2
yv=-1/8
b) -x^2+3x+4=0
delta=b^2-4ac
delta=3^2-4.(-1).4
delta=9+16
delta=25
xv=-b/2a
xv=-3/2.(-1)
xv=-3/-2
xv=1,5
yv=-delta/4a
yv=-25/4.(-1)
yv=-25/-4
yv=6,25
c) -3x^2+4x-1=0
delta=b^2-4ac
delta=4^2-4.(-3).(-1)
delta=16+12
delta=28
xv=-b/2a-
xv=-4/2.(-3)
xv=-4/-6 (:2)
xv=2/3
yv=-delta/4a
yv=-28/4.(-3)
yv=-28/-12 (:4)
yv=7/3