diff --git a/manimlib/animation/update.py b/manimlib/animation/update.py
index 89b88c32..57856a2f 100644
--- a/manimlib/animation/update.py
+++ b/manimlib/animation/update.py
@@ -1,6 +1,6 @@
+import operator as op
+
 from manimlib.animation.animation import Animation
-from manimlib.constants import *
-from manimlib.utils.config_ops import digest_config
 
 
 class UpdateFromFunc(Animation):
@@ -9,10 +9,13 @@ class UpdateFromFunc(Animation):
     to be used when the state of one mobject is dependent
     on another simultaneously animated mobject
     """
+    CONFIG = {
+        "suspend_mobject_updating": False,
+    }
 
     def __init__(self, mobject, update_function, **kwargs):
-        digest_config(self, kwargs, locals())
-        Animation.__init__(self, mobject, **kwargs)
+        self.update_function = update_function
+        super().__init__(mobject, **kwargs)
 
     def interpolate_mobject(self, alpha):
         self.update_function(self.mobject)
@@ -24,18 +27,15 @@ class UpdateFromAlphaFunc(UpdateFromFunc):
 
 
 class MaintainPositionRelativeTo(Animation):
-    CONFIG = {
-        "tracked_critical_point": ORIGIN
-    }
-
     def __init__(self, mobject, tracked_mobject, **kwargs):
-        digest_config(self, kwargs, locals())
-        tcp = self.tracked_critical_point
-        self.diff = mobject.get_critical_point(tcp) - \
-            tracked_mobject.get_critical_point(tcp)
-        Animation.__init__(self, mobject, **kwargs)
+        self.tracked_mobject = tracked_mobject
+        self.diff = op.sub(
+            mobject.get_center(),
+            tracked_mobject.get_center(),
+        )
+        super().__init__(mobject, **kwargs)
 
     def interpolate_mobject(self, alpha):
-        target = self.tracked_mobject.get_critical_point(self.tracked_critical_point)
-        location = self.mobject.get_critical_point(self.tracked_critical_point)
+        target = self.tracked_mobject.get_center()
+        location = self.mobject.get_center()
         self.mobject.shift(target - location + self.diff)