Question

Seja f(x) = (x - 3)2 - 4. Determine o vértice de f(x):

Answer 1

Olá!!

Resoluçao!!!

f ( x ) = ( x - 3 )² - 4
0 = ( x - 3 )² - 4
0 = ( x )² - 2 • x • 3 + 3² - 4
0 = x² - 6x + 9 - 4
0 = x² - 6x + 5

a = 1, b = - 6, c = 5

∆ = b² - 4ac
∆ = ( - 6 )² - 4 • 1 • 5
∆ = 36 - 20
∆ = 16

Xv = - b/2a
Xv = - ( - 6 )/2 • 1
Xv = 6/2
Xv = 3

Yv = - ∆/4a
Yv = - 16/4 • 1
Yv = - 16/4
Yv = - 4

Espero ter ajudado!!