Question

Escreva as coordenadas do vértice da parábola que representa cada função. a) f(x)= (x-1)^2 b) f(x)= (x+3)^2 c) f(x)= (x-1/2)^2 d) f(x)= (x+√5)^2

Answer 1

Bom dia

a) f(x) = (x-1)² 
f(x) = x² - 2x + 1
Vx = -b/2a = 2/2 = 1
Vy = f(1) = 0

b) f(x) = (x+3)²
f(x)= x² + 6x + 9
Vx = -b/2a = -6/2 = -3
Vy = f(-3) = 0 

c) f(x) = (x-1/2)²
f(x) = x² - x + 1/4
Vx = -b/2a = 1/2
Vy = f(1/2) = 1/4 - 1/2 + 1/4 = 0 

d) f(x) = (x+√5)²
f(x) = x² + 2√5x + 5
Vx = -b/2a = -2√5/2 = -√5
Vy = f(-√5) = 5 - 10 + 5 = 0