I know the question is already answered, but since I have already implemented something like this previously, I feel it can't hurt to add it:
CAKeyframeAnimation *shakeAnimation = [CAKeyframeAnimation animationWithKeyPath:@"transform.rotation.z"];
NSArray *transformValues = [NSArray arrayWithObjects:
[NSNumber numberWithFloat:((M_PI)/64)],
[NSNumber numberWithFloat:(-((M_PI)/64))],
[NSNumber numberWithFloat:((M_PI)/64)],
[NSNumber numberWithFloat:(-((M_PI)/64))],
[NSNumber numberWithFloat:((M_PI)/64)],
[NSNumber numberWithFloat:(-((M_PI)/64))],
[NSNumber numberWithFloat:0],
nil];
[shakeAnimation setValues:transformValues];
NSArray *times = [NSArray arrayWithObjects:
[NSNumber numberWithFloat:0.14f],
[NSNumber numberWithFloat:0.28f],
[NSNumber numberWithFloat:0.42f],
[NSNumber numberWithFloat:0.57f],
[NSNumber numberWithFloat:0.71f],
[NSNumber numberWithFloat:0.85f],
[NSNumber numberWithFloat:1.0f],
nil];
[shakeAnimation setKeyTimes:times];
shakeAnimation.fillMode = kCAFillModeForwards;
shakeAnimation.removedOnCompletion = NO;
shakeAnimation.duration = 0.6f;
[self.viewToShake.layer addAnimation:shakeAnimation forKey:@"anim"];
Also, since you want the shaking to indicate that the user failed to log in, you might also consider adding this animation that tints the screen red while the screen shakes:
//Put this in the header (.h)
@property (nonatomic, strong) UIView *redView;
//Put this in the implementation (.m)
@synthesize redView;
//Put this in viewDidLoad
self.redView = [[UIView alloc] initWithFrame:self.view.frame];
self.redView.layer.opacity = 0.0f;
self.redView.layer.backgroundColor = [[UIColor redColor] CGColor];
//Put this wherever you check if the login failed
CAKeyframeAnimation *redTint = [CAKeyframeAnimation animationWithKeyPath:@"opacity"];
NSArray *transformValues = [NSArray arrayWithObjects:
[NSNumber numberWithFloat:0.2f],
[NSNumber numberWithFloat:0.0f],
nil];
[redTint setValues:transformValues];
NSArray *times = [NSArray arrayWithObjects:
[NSNumber numberWithFloat:0.5f],
[NSNumber numberWithFloat:1.0f],
nil];
[redTint setKeyTimes:times];
redTint.fillMode = kCAFillModeForwards;
redTint.removedOnCompletion = NO;
redTint.duration = 0.6f;
[self.redView.layer addAnimation:shakeAnimation forKey:@"anim"];
Hope this helps!