Find the line of symmetry for the parabola whose equation is y equals 2x squared minus 4X plus one

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. We determine as follows:

y = 2x^2 - 4x + 1

y = a (x - h) 2 + k

y = 2 (x^2 - 2x) + 1

y = 2 (x^2 - 2x + 1) + 1 - 1

y = 2 (x - 1) ^2

Therefore, the line of symmetry passes through the vertex (1, 0) with an equation x = 1.