Well for me it is not clear what you want to achieve exactly. Here are two options.
The first one will get you your routing information as a json or xml (see mapquest api docs) to do further processing.
The second option is just an Example to show your routing using the mapQuest/directions api in a hacky way.
This will get you a json response with your routing information:
from RouteOptions import RouteOptions
from RouteService import RouteService
options = RouteOptions()
service = RouteService('YOUR_MAPQUEST_DEVELOPER_API_KEY')
multi_location_list = ['Lancaster, PA', 'State College, PA', 'York, PA']
multiDirRoute = service.directions(locations=multi_location_list, options=options)
More information can be found here:
If you want to see your route with https://mapQuest.com/directions you could hack yourself the url string and open it with the browser.
So you could insert the coordinates .../from/near...,..../to/near...,.../to/near...,...
This will open your browser and display the route.
website = "https://www.mapquest.com/directions/from/near-33.94,-118.13/to/us/il/chicago/to/us/dc/washington/to/us/ny/new-york"