What is the equation of the axis of symmetry of the graph of y + 3x - 6 = - 3 (x - 2) 2 + 4?

A: x=3/2

B: x=-1/6

C: x=-1/2

D: x=-3/2

Axis of symmetry = - b/2a

y + 3x - 6 = - 3 (x-2) ² + 4

y + 3x - 6 = - 3 (x²-4x+4) + 4

y + 3x - 6 = - 3x² + 12x - 12 + 4

y + 3x - 6 = - 3x² + 12x - 8

y = - 3x² + 12x - 3x - 8 + 6

y = - 3x² + 9x - 2

(a=-3, b=9, c=-2)

Axis of symmetry = - b/2a = - 9/2 (-3) = - 9 / - 6 = - 3 / - 2 = 3/2

Hence, option A) x=3/2 is the correct answer.