The image of the function 2Sin (2x + π / 3) + 1 is shifted to the left by π / 6 units, and then to the quotient by 3 units. The analytic expression is

The image of the function 2Sin (2x + π / 3) + 1 is shifted to the left by π / 6 units, and then to the quotient by 3 units. The analytic expression is

y=2sin(2x+π/3)+1
=2sin[2(x+π/6)]+1
Shift π / 6 units to the left
y=2sin[2(x+π/6+π/6)]+1
=2sin(2x+2π/3)+1
Move up 3 units
y=2sin(2x+2π/3)+1+3
=2sin(2x+2π/3)+4