Given the function, g (x) = 2x2 - 16x + 15, how do i find the axis of symmetry?

You can factorise the function to get 2 (x^2 - 8x + 7.5) and then complete the square to get 2 (x - 4) ^2 - 17. Because this shows that the graph has been moved 4 units to the right, the axis of symmetry is x=4.