For the order of transformations, use the order in which you would evaluate the function for a given value of x, using standard rules of order of operations: parentheses first; multiplication next; addition last.
Here is an example similar to yours with different parameters.
(1) Parent function:
(2) Innermost parentheses:
The graph is shifted pi/4 units left (green vs. red)
(3) Other parentheses:
The period is shortened by a factor of 3 (divided by 3); there are now 3 full periods where there was a single period of the parent function (blue vs. green)
(4) Multiplication:
The graph is stretched vertically by a factor of 2 and reflected across the x-axis (purple vs. blue)
(5) Addition:
The graph is shifted up 1 unit (yellow vs. purple)