Which equation represents the axis of symmetry of the function y = -2x^2 + 4x -6?

The axis of symmetry of a parabola is represented by the equation x = -b/2a for a quadratic function in standard form y = ax^2 + bx + c.

In this case, a = -2 and b = 4.

Substitute these values into the equation x = -b/2a:

x = -4 / (2*(-2))
x = -4 / (-4)
x = 1

Therefore, the equation that represents the axis of symmetry of the function y = -2x^2 + 4x - 6 is x = 1.