A tornado moves generally with its parent storm. If the parent storm is moving north and east, a tornado’s movement will likely be the same general direction.
However, this isn’t always the case and there are variations to the general rule. Generally tornadoes will wobble along their track and (especially as they weaken) veer wildly off of their path.
In fact, a weakening tornado veering to the left is quite common, as are right turns with tornadoes, especially as they strengthen.
Here’s a general overview video: