diff --git a/Lib/ipaddress.py b/Lib/ipaddress.py
index af7aedf..4a6496a 100644
--- a/Lib/ipaddress.py
+++ b/Lib/ipaddress.py
@@ -16,6 +16,7 @@
 IPV4LENGTH = 32
 IPV6LENGTH = 128
 
+
 class AddressValueError(ValueError):
     """A Value Error related to the address."""
 
@@ -2002,9 +2003,13 @@ def is_private(self):
 
         Returns:
             A boolean, True if the address is reserved per
-            iana-ipv6-special-registry.
+            iana-ipv6-special-registry, or is ipv4_mapped and is
+            reserved in the iana-ipv4-special-registry.
 
         """
+        ipv4_mapped = self.ipv4_mapped
+        if ipv4_mapped is not None:
+            return ipv4_mapped.is_private
         return any(self in net for net in self._constants._private_networks)
 
     @property