boil, cook
烹 centers on applying heat to prepare food, especially by boiling or cooking in liquid.
烹 combines 亨 (which historically relates to offering or cooking) with 灬 (fire), suggesting cooking with fire. The exact historical development of 亨 is uncertain, but the combination clearly points to boiling or cooking.
The top part 亨 looks like a pot with a lid and a handle, and the bottom 灬 is fire. Picture a pot over fire, boiling food.
For ホウ, imagine a chef shouting 'Ho!' as steam rises from the boiling pot: Ho -> ホウ, and the pot is cooking over fire.
cooking (esp. Japanese style); cuisine
(Japanese) restaurant
Japanese cooking
traditional inn priding itself on its cuisine; Japanese-style restaurant with an attached inn
coverall apron; cook's apron
cooking by boiling
galley; ship's kitchen
galley stovepipe
when the enemy is defeated, the victorious soldiers can be killed off; when the nimble rabbit dies, the hunting dog is cooked