diff --git a/manimlib/mobject/coordinate_systems.py b/manimlib/mobject/coordinate_systems.py
index e7bee7d8..6498498f 100644
--- a/manimlib/mobject/coordinate_systems.py
+++ b/manimlib/mobject/coordinate_systems.py
@@ -54,7 +54,7 @@ class CoordinateSystem(ABC):
         self,
         x_range: RangeSpecifier = DEFAULT_X_RANGE,
         y_range: RangeSpecifier = DEFAULT_Y_RANGE,
-        num_sampled_graph_points_per_tick: int = 20,
+        num_sampled_graph_points_per_tick: int = 5,
     ):
         self.x_range = x_range
         self.y_range = y_range
@@ -241,21 +241,20 @@ class CoordinateSystem(ABC):
         Use for graphing functions which might change over time, or change with
         conditions
         """
-        x_values = [self.x_axis.p2n(p) for p in graph.get_points()]
+        x_values = np.array([self.x_axis.p2n(p) for p in graph.get_points()])
 
-        def get_x_values():
+        def get_graph_points():
+            xs = x_values
             if get_discontinuities:
                 ds = get_discontinuities()
                 ep = 1e-6
                 added_xs = it.chain(*((d - ep, d + ep) for d in ds))
-                return sorted([*x_values, *added_xs])[:len(x_values)]
-            else:
-                return x_values
+                xs[:] = sorted([*x_values, *added_xs])[:len(x_values)]
+            return self.c2p(xs, func(xs))
 
-        graph.add_updater(lambda g: g.set_points_as_corners([
-            self.c2p(x, func(x))
-            for x in get_x_values()
-        ]))
+        graph.add_updater(lambda g: g.set_points_as_corners(
+            get_graph_points()
+        ))
         if not jagged:
             graph.add_updater(lambda g: g.make_approximately_smooth())
         return graph