# Graph Transformations

This cheat sheet covers the high school math concept – Graph Transformations.

This concept is a part of Calculus and is generally covered along with functions. A good knowledge of basic functions and their domains and ranges is a must to understand graphs and their transformations. In other words, you must know the graph of the original function before you can transform it.

This cheat sheet doesn’t cover the graphs of functions. It only covers their transformations, assuming that the base function’s graph is already known. Once you’re comfortable with the transformations covered here, you can refer to the Advanced Graph Transformations cheat sheet.

Knowledge of graph transformations will be quite helpful in understanding and solving problems related to definite integration and area under curves. Cheat sheets on both these topics are also available on this website.

This one page PDF covers summarized theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The graphs covered in this cheat sheet are:

• Translation: Graph of y = f(x + a)
• Translation: Graph of f(x) + a
• Scaling: Graph of a.f(x)
• Scaling: Graph of f(ax)
• Graph of |f(x)|
• Graph of f(|x|)
• Graph of |f(|x|)|
• Graph of |y| = f(x)