If the image of the function y = sin2x is shifted to the right by φ (φ > 0) units, and the obtained image is symmetric with respect to x = π 6, then the minimum value of φ is () A. 5 π 12b. 11 π 6C. 11 π 12D. None of the above is true

If the image of the function y = sin2x is shifted to the right by φ (φ > 0) units, and the obtained image is symmetric with respect to x = π 6, then the minimum value of φ is () A. 5 π 12b. 11 π 6C. 11 π 12D. None of the above is true

Let y = f (x) = sin2x, then f (x - φ) = sin2 (x - φ) = sin (2x-2 φ), and its image is exactly symmetric with respect to x = π 6, ∧ 2 × π 6-2 φ = 2K π + π 2 or 2 × π 6-2 φ = 2K π - π 2, K ∈ Z. ∧ φ = - K π - π 12 or φ = - K π + 5 π 12, K ∈ Z. moreover, the minimum value of ∧ φ is 5 π 12