I really love UIView animations. They are so simple and elegant. This little chain I will make will fade in a UIView (or descendant) from the left, wait a moment, then fade out to the left. In general you can animate all of these properties: frame,bounds,center,transform,alpha,backgroundColor,and contentStretch in a UIView animation block.
For this example I created a single view application and put a UIImageView in the middle of the screen. UIImageView is a direct descendant of UIView so it is perfect for this exercise.