diff --git a/lib/matplotlib/transforms.py b/lib/matplotlib/transforms.py
index db216fcb8433..2cca56f04457 100644
--- a/lib/matplotlib/transforms.py
+++ b/lib/matplotlib/transforms.py
@@ -867,43 +867,9 @@ def update_from_path(self, path, ignore=None, updatex=True, updatey=True):
         if ignore is None:
             ignore = self._ignore
 
-        if path.vertices.size == 0:
+        if path.vertices.size == 0 or not (updatex or updatey):
             return
 
-        points, minpos, changed = self._calc_extents_from_path(path, ignore,
-                                                               updatex, updatey)
-
-        if changed:
-            self.invalidate()
-            if updatex:
-                self._points[:, 0] = points[:, 0]
-                self._minpos[0] = minpos[0]
-            if updatey:
-                self._points[:, 1] = points[:, 1]
-                self._minpos[1] = minpos[1]
-
-    def _calc_extents_from_path(self, path, ignore, updatex=True, updatey=True):
-        """
-        Calculate the new bounds and minimum positive values for a `Bbox` from
-        the path.
-
-        Parameters
-        ----------
-        path : `~matplotlib.path.Path`
-        ignore : bool
-            - When ``True``, ignore the existing bounds of the `Bbox`.
-            - When ``False``, include the existing bounds of the `Bbox`.
-        updatex : bool
-            When ``True``, update the x-values.
-        updatey : bool
-            When ``True``, update the y-values.
-
-        Returns
-        -------
-        points : (2, 2) array
-        minpos : (2,) array
-        changed : bool
-        """
         if ignore:
             points = np.array([[np.inf, np.inf], [-np.inf, -np.inf]])
             minpos = np.array([np.inf, np.inf])
@@ -911,9 +877,6 @@ def _calc_extents_from_path(self, path, ignore, updatex=True, updatey=True):
             points = self._points.copy()
             minpos = self._minpos.copy()
 
-        if not (updatex or updatey):
-            return points, minpos, False
-
         valid_points = (np.isfinite(path.vertices[..., 0])
                         & np.isfinite(path.vertices[..., 1]))
 
@@ -928,9 +891,14 @@ def _calc_extents_from_path(self, path, ignore, updatex=True, updatey=True):
             points[1, 1] = max(points[1, 1], np.max(y, initial=-np.inf))
             minpos[1] = min(minpos[1], np.min(y[y > 0], initial=np.inf))
 
-        changed = np.any(points != self._points) or np.any(minpos != self._minpos)
-
-        return points, minpos, changed
+        if np.any(points != self._points) or np.any(minpos != self._minpos):
+            self.invalidate()
+            if updatex:
+                self._points[:, 0] = points[:, 0]
+                self._minpos[0] = minpos[0]
+            if updatey:
+                self._points[:, 1] = points[:, 1]
+                self._minpos[1] = minpos[1]
 
     def update_from_data_x(self, x, ignore=None):
         """