The sentence that includes a gerund is "My family is impressed by my cooking."
The sentence that includes a gerund is "My family is impressed by my cooking." To identify the gerund in this sentence, you need to know that a gerund is a verb form that acts as a noun and ends in "-ing." In this case, the gerund is "cooking," which is functioning as the object of the preposition "by" and showing the action of the verb "impressed."