Capital Injection
  
"Injection" sounds weird when speaking of finances...taking your capital like you take your vaccines. But it just means that the business receiving it needs help. Like a person needing an injection of medicine needs help, so a company receiving an "injection" of cash needs help.
The business could be struggling to pay its bills, or perhaps it's just struggling to get started and needs a boost. Generally, in the private sector, the investor is given a stake in the business in return for the funds (this is an equity investment).
The government sometimes injects capital as well. Remember (or at least heard of) the Great Recession in 2008? The government injected money into the financial sector, and into some other industries as well (like car manufacturers). The goal was to keep them (and the economy) afloat. This was the famed "government bailouts." In the case of the government injecting funds, sometimes it's in exchange for a stake in the business, and sometimes it's done as a loan of sorts.