The two phases are called "Waxing crescent moon" and "Waning gibbous moon". During these two phases one can barely see the moon.
The best way Kenya can determine wether the sites she finds are reliable sources is A. She can check if the sites have domains like .gov,.org or .edu in the URLs.
By carrying out her research in these sites, Kenya can guarantee that the information is reliable, objective and verified by the institution in charge of the site. She may not agree with the content, or she may not find exactly what she is looking for easily, but she will make a trustworthy research.