public enum TransformMethodType : System.Enum, System.IComparable, System.IConvertible, System.IFormattable  

var transformFeatures = new EditOperation();
transformFeatures.Name = "Transform Features";

//Transform a selected set of features
//At 2.x - var transformSelection = MapView.Active.GetFeatures(polygon).Select(
//    k => new KeyValuePair<MapMember, List<long>>(k.Key as MapMember, k.Value));
//transformFeatures.Transform(transformSelection, linkLayer);
////Transform just a layer
//transformFeatures.Transform(featureLayer, linkLayer);
////Perform an affine transformation
//transformFeatures.TransformAffine(featureLayer, linkLayer);

var affine_transform = new TransformByLinkLayer()
{
  LinkLayer = linkLayer,
  TransformType = TransformMethodType.Affine //TransformMethodType.Similarity
};
//Transform a selected set of features
transformFeatures.Transform(MapView.Active.GetFeatures(polygon), affine_transform);
//Perform an affine transformation
transformFeatures.Transform(featureLayer, affine_transform);

//Execute to execute the operation
//Must be called within QueuedTask.Run
transformFeatures.Execute();

//or use async flavor
//await transformFeatures.ExecuteAsync();