Which set of transformations is needed to graph [tex]\( f(x) = -2 \sin(x) + 3 \)[/tex] from the parent sine function?
A. Vertical compression by a factor of 2, vertical translation 3 units up, reflection across the [tex]\( y \)[/tex]-axis
B. Vertical compression by a factor of 2, vertical translation 3 units down, reflection across the [tex]\( x \)[/tex]-axis
C. Reflection across the [tex]\( x \)[/tex]-axis, vertical stretching by a factor of 2, vertical translation 3 units up
D. Reflection across the [tex]\( y \)[/tex]-axis, vertical stretching by a factor of 2, vertical translation 3 units down