1C charging (charging at the current of the battery capacity - IOW, if the battery has a capacity of 2500mAh, charging at 2,600mA or 2.6 Amps) is considered the normal charge for a lithium ion battery. Most phones charge at half that amount or less. Qualcom Fast Charge 2.0 charges at about 1C, so it's not really a fast charge, it's a normal charge - the "normal" charge is actually a slow charge.
While I fully agree with Battery University, and with B. Diddy's evaluation of them (they destroy batteries at about the rate you breathe [it's Cadex, a manufacturer of battery testing equipment], so if there's something they don't know about batteries, it's probably something it's not possible to know), read the link he gave. Notice that the reference in the graph is 1C. They don't show a line for 0.5C, because it would be so close to the one for 1C that it would use the same pixels. They caution against ultra-fast (anything over 1C) charging, charging batteries that are above or below the normal temperature range for charging and fast-charging defective batteries or batteries near the end of life.
They also caution against fast-charging the battery when the phone is turned on! You could overcharge the battery that way, and that not only risks the battery life, it could be dangerous - overcharging a lithium battery could cause a sudden heat rise and a fire or, if the rise is fast enough, an explosion. So if you're going to quick-charge, turn the phone off first. If you have to have the phone running, use the normal charge rate.