Being able to transform basic graphs is an essential skill to develop for sketching graphs.
In these tutorials I show you how to apply reflections to graphs of the form y = f(x).

Transformations of Graphs : reflections y= - f(x), f(-x) : ExamSolutions - youtube Video

Why do these reflections work in the way they do?

Transformations of Graphs : Reflections y=-f(x), y=f(-x) Proof : ExamSolutions - youtube Video