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

Transformations of Graphs (translations) : ExamSolutions - youtube Video

Why does the translation y=f(x ± a), work in this way?

Translations f(x+a) type : Why they work in the way they do : ExamSolutions Maths Revision - youtube Video

Why does the translation y=f(x) ± a, work in this way?

Translations f(x)+a type : Why they work in the way they do : ExamSolutions Maths Revision - youtube Video