Ano ang axis ng simetrya at vertex para sa graph f (x) = -3x ^ 2 + 3x - 2?

Sagot:

Vertex #(1/2, -1 1/4)#

Axis of symmetry # x = 1/2 #

Paliwanag:

Given -

# y = -3x ^ 2 + 3x-2 #

Vertex

x - coordinate ng vertex

= (- b) / (2a) = (- (3)) / (2 xx (-3)) = (- 3) / (- 6) = 1/2 #

y - coordinate ng vertex

# y = -3 (1/2) ^ 2 + 3 (1/2) -2 = (- 3) / 4 + 3 / 2-2 = (- 3 + 6-8) / 4 = (- 5) / 4 #

Vertex #(1/2, -1 1/4)#

Axis of symmetry # x = 1/2 #