Question

Quais as coordenadas do vértice y=-3x²+2x+2?

Answer 1

∆=b² -4ac= 2² -4.(-3).2 = 4 +24 = 28
xv = -b/2a = -2/2(-2)= -2/-4 = 1/2 ✓
yv = -∆/4a = -28/4(-2)= 28/8 = 7/2 ✓

Answer 2

Vamos lá.

Encontrando x do vértice

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


Achando Y do vértice

Yv = -3*(1/3)² + 2*1/3 + 2
Yv = -3/9 + 2/3 + 2
Yv = -1/3 + 2/3 + 2
Yv = 1/3 + 2
Yv = 7/3


Coordenada é:



V ( 1/3 ; 7/3)