Question

Considere a função f (x)=X2-2X+1.determine 1) f (-1),2)f (1),3) f(-2),4) f (t)

Answer 1

x² - 5x + 6 = 0

1)Calcular os zeros

ax² +bx + c

use a formula de baskhara matematico indian

a = 1
b = -5
c = 6
♥² = b² -4ac = 25 - 24 = 1
♥ = 1
x´= -b/2a + ♥/2a = 5/2 + 1/2 = 3
x´´= -b/2a - ♥/2a = 5/2 - 1/2 = 2

2) Determine o Vértice da parábola

xv = -b/2a = 5/2 = 2,5
yv = f(xv) = f(2,5) = 2,5² -5*2,5 + 6 = -0,25

3) Esboce o grafico.

x={0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0}
y={6.0 3.75 2.0 0.75 0.0 -0.25 0.0 0.75 2.0 3.75 6.0}