where can I find the "FinishLaunchingWithOptions" method? Is it somewhere on the Dashboard provided by bluemix, or is it within the bundle of code provided by Bluemix upon creation of a new app?
And if it is within the bundle of code provided with the new app, which file can I locate it in
Assuming the bundle of code you are referencing is the HelloWorld app that Bluemix prompts you to download when creating a new app then the file is the AppDelegate.m for Objective C or AppDelegate.swift for Swift. Both are located in the root of their respective code repositories (so helloWorld_Swift/AppDelegate.swift).
The full method is didFinishLaunchingWithOptions and it should be the first method you will find within those source files (around lines 22-26). There's a block of comments under the method declaration that should explain the process.
Cheers