Generally speaking, unless you understand that matrix manipulations well (or are a masochist), you want to use the CGAffineTransformMake Rotation / Scale / Translation
methods which provide a much cleaner and obvious interface for the standard tasks you want to complete.
You can also chain the transformations together with CGAffineTransform Rotate / Scale / Translate
so that you can 'build' a single complex transform (or append to a previous existing transform).