The {profile} parameter of your request should be a Mapbox Directions profile ID. Currently supported IDs are:
mapbox.driving for car and motorcycle routing. This profile shows the fastest routes by preferring high-speed roads like highways.
mapbox.walking for pedestrian and hiking routing. This profile shows the shortest path by using sidewalks and trails.
mapbox.cycling for bicycle routing. This profile shows routes that are short and safer for cyclist, avoiding highways and preferring streets with bike lanes.
The {waypoints} parameter should be a semicolon separated list of locations to visit, containing at least two elements (origin and destination). Each element should be a {lon},{lat} coordinate pair in decimal degrees. Note that the order of coordinates is longitude, latitude. Up to 25 elements may be specified.