The important thing for Facebook is “to stay focused on the fact that we’re the same company now as we were before,” Mr. Ebersman said in its maiden earnings call in late July. Immediately after, the stock plummeted.

Since then, Mr. Ebersman has met with bankers on both coasts and reiterated that message.

“They think everything is going to be fine, and that everyone needs to understand Facebook better,” said one analyst who heard him speak.

The company is trying to show investors that it is aggressively expanding the business, investing in expensive engineers and data centers. Certainly the public offering has stuffed the coffers with plenty of cash.

Facebook also wants it to be known that not everyone is running away from the stock. Reed Hastings, a Facebook director and the chief executive of Netflix, recently bought $1 million in shares. But that was a drop in the bucket compared with the $9 billion in shares sold by insiders at the peak public offering price. Since then, another director and an original investor, Peter Thiel, sold more than 20 million shares, according to a filing with the Securities and Exchange Commission.

Facebook executives are taking pains to show that they continue to dream big.

Doug Purdy, the director of developer products, painted Facebook’s future with great enthusiasm on Friday, when shares nearly touched the half-price milestone. One day soon, he said, the Facebook newsfeed on your mobile phone would deliver to you everything you want to know: what news to digest, what movies to watch, where to eat and honeymoon, what kind of crib to buy for your first born. It would all be based on what you and your Facebook friends liked.

Facebook’s algorithms would be refined so that it would all be sent to you — “pushed,” in Mr. Purdy’s words. You wouldn’t have to search for it.