Broccoli Cheddar Soup

Name: Broccoli Cheddar Soup
Prep time: 10 min
Cook time: 25 min
Total time: 35 min
Cuisine: American
Ingredients: 4 tablespoons unsalted butter; 1 medium onion, diced; 2-3 cloves garlic, minced; ½ teaspoon smoked paprika; ½ teaspoon garlic powder; Pinch of cayenne pepper; ¼ cup all-purpose flour; 2 cups vegetable stock or chicken stock; 2 cups half-and-half; 3 cups broccoli florets and tender stems, chopped into bite sized pieces; 2 medium or 3 small carrots, shredded; 8 ounces sharp cheddar cheese, shredded; Kosher salt and black pepper