By Corrie Driebusch And Shira Ovide 

Shares of GoDaddy Inc., a technology provider to small businesses, jumped 31% in their market debut Wednesday as investors piled into the company known nearly as much for its racy television commercials as it is for selling Web domains.

The stock opened and closed at $26.15, 31% above its higher-than-expected initial public offering price. During the day, GoDaddy shares--which trade on the New York Stock Exchange under the symbol "GDDY"--traded between $25.49 and $26.84.

The company's closing stock price values GoDaddy at nearly $4 billion.

GoDaddy has been working to make over its image, and the company's IPO is part of that plan, according to people close to the company. Gone are commercials with model Bar Refaeli and race-car driver Danica Patrick.

The company also wants to promote that it does more than sell Web domains: It also helps customers get their websites running, grows their business, and sells them products. The company seeks to convince its 13 million customers to buy newer services like company-specific email addresses, bookkeeping software and e-commerce tools.

The broader product strategy is potentially more lucrative, but it also exposes GoDaddy to a fleet of rivals vying for small-business owners. It is an open question whether GoDaddy can remain relevant as scores of tech firms pursue a similar approach.

Shifting the brand's identity now won't be easy, said Allen Adamson, chairman of the North America region for branding firm Landor Associates. "It's hard to go from something edgy and trendy and outrageous into what's necessary to succeed in a [business-to-business] world," he said.

In IPO documents, the company said there "can be no assurance that we will succeed in repositioning our brand, or that by doing so we will grow our total customers, increase our revenue or maintain our current high level of brand recognition."

GoDaddy in December 2012 hired technology-product executive Blake Irving as chief executive, signaling a push to upgrade the company's technology. The company opened offices in Silicon Valley and the Boston area to attract high-caliber talent. Since 2010, spending on technology operations has more than doubled, a faster pace than GoDaddy's revenue growth over the same period.

Perhaps a bigger change--and the one on which GoDaddy is hitching its fortune--is the shift to providing a more extensive range of services from selling Web domains.

The company increasingly has pitched add-ons like website hosting or running the computers that keep a company's website online. GoDaddy also sells email addresses customized to a company name, digital security features and versions of Microsoft Office software tailored for tiny businesses. A GoDaddy service called Get Found automatically creates listings on Facebook, Yelp and other digital spots where people look for business information.

Sales of the newer GoDaddy services have grown at least twice as fast as domain sales and have fatter profit margins. Continued growth in customer sign-ups plus the new services have pushed up average annual revenue from each GoDaddy customer to $114 in 2014 from $93 in 2012. Still, GoDaddy generates more than half its revenue from domain sales.

Technology companies increasingly are targeting small businesses, hoping to turn mom-and-pop operations into a foundation for growing their own businesses. Hopefuls include payments company Square Inc., e-commerce tools provider Shopify Inc. and online-marketing firm Yodle Inc. Shopify and Yodle are planning IPOs this year, The Wall Street Journal has previously reported.

So far, public investors have embraced only tepidly the idea that small businesses are a big opportunity. Shares of small-business domain seller Endurance International Group Holdings Inc. are up 59% since their first day of trading in 2013, while shares of Wix.com Ltd. are up 14% since their public debut.

Investors are pricing these firms at lower valuations than other Internet companies. Wix trades at about five times revenue, and Endurance at about four times. That compares to an average of eight times revenue for companies in the Bessemer Venture Partners' Cloud Computing Index, which mostly consists of companies that provide Web-based services to big firms. GoDaddy, at its high Wednesday, had a market value about three times its revenue.

GoDaddy priced its initial public offering at $20 a share late Tuesday, above expectations. The deal raised $460 million by selling 23 million shares. The company had planned to sell 22 million shares between $17 and $19, according to a regulatory filing.

The total doesn't include a so-called overallotment option, which gives underwriters the opportunity to sell additional shares under certain circumstances. Morgan Stanley, J.P. Morgan and Citigroup led the deal.

Telis Demos contributed to this article.

Write to Corrie Driebusch at corrie.driebusch@wsj.com and Shira Ovide at shira.ovide@wsj.com

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