1-First Step: Set up your ingredients Start by gathering the shrimp, salt, lemon, peppercorns, parsley, ketchup, horseradish, and optional sauce add-ins. Having everything ready makes the process smooth and quick, which matters because shrimp cook fast. Fill a large saucepan about 3/4 full with water and add the 1/2 teaspoon salt. If you want extra flavor, add the 1/2 lemon, 8 to 10 peppercorns, and a handful of fresh parsley.

2-Second Step: Bring the water to a boil, then remove it from the heat Bring the pot to a rapid boil. Once it reaches that point, remove it from the heat and let the bubbling settle. This off-heat method is the secret to tender shrimp, because the water stays hot enough to cook them gently without turning them tough.

3-Third Step: Poach the shrimp Add the shrimp to the hot water, stir once, cover the pot, and let them sit for 4 to 5 minutes. The shrimp are ready when they look opaque and pink. If you are using frozen shrimp, plan on about 10 minutes instead. Do not keep the shrimp over direct heat, because that can make them rubbery.

4-Fourth Step: Chill the shrimp quickly Prepare an ice bath in a large bowl with ice cubes and cold water. Drain the shrimp as soon as they are done, then move them into the ice bath. This stops the cooking right away and helps the shrimp stay juicy. After they are chilled, peel them if needed, but leave the tails on for that classic cocktail look.

5-Fifth Step: Mix the cocktail sauce In a medium bowl, combine the 1 cup ketchup, 2 tablespoons horseradish, and a pinch of salt. If you want a little more flavor, stir in the optional 1 teaspoon lemon juice, 1/2 teaspoon Worcestershire sauce, and 1/2 teaspoon hot sauce. Taste and adjust the horseradish to your liking. The sauce should be bright, tangy, and a little spicy.

6-Final Step: Serve and garnish Divide the sauce among 4 small bowls or glasses. Hang the shrimp from the rims, or arrange them neatly around the sauce in chilled serving glasses. A few lemon wedges or parsley sprigs make a nice finishing touch. Serve right away for the best texture and taste.