Question

Construa o grafico da função
c) h (x) = x² - 4x + 3

Answer 1

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Answer 2

vamos lá....

h(x)=x²-4x+3

raízes ou zero da função

x²-4x+3=0

a=1
b=-4
c=3

Δ=b²-4ac
Δ=(-4)²-4(1)(3)
Δ=16-12
Δ=4

x=(-b±√Δ)/2a=  [-(-4)±√4]/2=  (4±2)/2

x'=(4+2)/2=6/2=3

x"=(4-2)/2=2/2=1

Vértice

XV=-b/2a=-(-4)/2=4/2=2
YV=-Δ/4a=-4/4=-1

X  |  Y
3  | 0   ⇒raiz
2  |  -1  ⇒vértice
1  | 0   ⇒raiz
0  | 3   ⇒corta eixo y