Add the quartered new carrots (or peeled and chopped mature carrots) and new potatoes to a large dutch oven or saucepan with a lid.
Add enough water to the pot to cover the vegetables, and add 1 tablespoon of salt. Cover with a lid.
Bring to a boil over high heat. Once a boil has been reached, remove the lid. Cook until the potatoes and carrots are tender, 15-20 minutes.
Once the potatoes are fork-tender, add in the peas, green beans, and yellow wax beans. Stir and cover with the lid. Cook for 2-4 minutes or until the green beans and peas are bright in color.
Remove from the heat and drain off all but ¾ cup of the water.
Add in the butter and stir until melted.
Add in the heavy cream and stir it in. Taste and add salt and pepper to your taste.
Serve and enjoy!