Question

as coordenadas do vértice da parabola referente a função do 2* grau f(x)=x²-4x+1 são

A)V(-2,-3)
B)V(-2,3)
C)V(2,-3)
D)V(2,3)

Answer 1

y= x² - 4x + 1

a=1
b= -4
c=1

Δ=b²-4ac
Δ=(-4)²-4(1)(1)
Δ=16 -4
Δ= 12

coordenadas do vértice

$V(X_V,YV)=V(2,-3)\mapsto letra~~C \\ \\ X_V= \frac{-b}{2a} = \frac{-(-4)}{2} = \frac{4}{2} =2 \\ \\ Y_V= \frac{-\Delta}{4a} = \frac{-12}{4} =-3$