The correct answer is option 1: Zinc oxide.

Zinc oxide is an oxide compound that shows both acidic and basic behavior. This is because it exhibits amphoteric properties, meaning it can react with both acids and bases. When zinc oxide reacts with an acid, such as hydrochloric acid, it acts as a base and forms a salt and water. On the other hand, when zinc oxide reacts with a base, such as sodium hydroxide, it behaves as an acid and forms a salt and water.

Option 2: Copper oxide is not the correct answer as it does not show both acidic and basic behavior. Copper oxide only exhibits basic behavior.

Option 3: Magnesium oxide is not the correct answer as it only shows basic behavior.

Option 4: Calcium oxide is not the correct answer as it also only shows basic behavior.

Therefore, the only oxide among the given options that shows both acidic and basic behavior is option 1: Zinc oxide.