Flower blooming animation is little trickier to achieve. But it is easy once you get the idea. There are several ways to achieve the flower blooming animation, you can use modifiers like bend deformer to animate the flower petals, use bones and rig the flower or use hair modules to deform the flower.
In this video I am going to show you an easier way of flower blooming animation in Maya. Using bones to rig one petal, animate it and duplicate the animated petals to make a flower. I also cover how to add some subtle secondary animation to the flower.