Question

Determine as coordenadas do vértice  da função F(x)= -X²/3 + 2x -5/3

Answer 1

a = -1/3
b = 2
c = -5/3
Δ = b²-4ac
Δ = 2² - 4.(-1/3).(-5/3)
Δ = 4 - (4.1.5)/(3.3)
Δ = 4 - 20/9
Δ = (36-20)/9
Δ = 16/9

xV = -b/2a --> xV = -2/(-1/3) --> xV = 2.3 --> xV = 6
yV = -Δ/4a --> yV = -(16/9) / 4.(-1/3) --> yV = -(16/9) / (-4/3) --> yv = 16/9 . 3/4
--> yV =  48/36 --> yV = 8/6 --> yV = 4/3
V = (6. 4/3)