Question

Determine o vértice das funções:
a) f(x)=x²-2x+1
b) f(x)=x²-x
c) f(x)=x²-x+2

Answer 1

a) x² - 2x + 1
a = 1 ; b = -2 ; c = 1
∆ = (-2)² - 4•1•1 = 0

Vertice=( -b/2a ; -∆/4a) = (2/2•1 ; 0/4•1) = (1 ; 0)
.
.
b) x² - x
.
a = 1 ; b = -1 ; c = 0
∆ = (-1)² - 4•1•0 = 1
.
V = (1/2 ; -1/4)
.
.
.
c) x² - x + 2
.
a= 1 ; b = -1 ; c = 2
.
∆ = (-1)² - 4•1•2 = 1 - 8 = -7
.
V = (1/2 ; 7/4)