Given the function FX = 2sinxcosx-2cos ^ 2x + 1, the image of the function FX is shifted to the right by 6 units to get GX

Given the function FX = 2sinxcosx-2cos ^ 2x + 1, the image of the function FX is shifted to the right by 6 units to get GX

F (x) = sin2x - (2cos ^ 2x-1) = sin2x cos2x = radical 2 sin (2x Pai / 4)
Move right
Radical 2 sin [2 (x-pai / 6) - Pai / 4] = radical 2 sin (2x-5pai / 12)