Wat is de vertex van y = -3x ^ 2 + 4x-3?

Wat is de vertex van y = -3x ^ 2 + 4x-3?
Anonim

Antwoord:

Vertex is # (2/3, -1 2/3)#

Uitleg:

Gegeven -

# Y = -3x ^ 2 + 4x-3 #

#x = (- b) / (2a) = (- 4) / (2 xx -3) = (- 4) / (- 6) = 2/3 #

#y = -3 (2/3) ^ 2 + 4 (2/3) -3 #

#y = -3 (4/9) +4 (2/3) -3 #

#y = (-12) / 9 + 8 / 3-3 = -1 2/3 #

Vertex is # (2/3, -1 2/3)#