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1) The correct answer for the vertex of the parabola y = x^2 + 10x + 12 is b) (-1.4, 0).
2) The correct answer for the axis of symmetry of the parabola y = -x^2 + 6x - 8 is a) x = 2.
3) To solve the equation 2x^2 - 6x = 0 by factoring, we first find the greatest common factor, which is 2x. Factoring out 2x, we get 2x(x - 3) = 0. So, the solutions are c) x = 0 and x = 6.