 # Graphs Explained

Basic Transformations of Graphs: Translations
Given a sketch of y = f(x), does y = f(x-3) then correspond to a shift to the left or to the right of that graph? Here's how to deal with such basic graph transformations with ease.
The Graph of an Inverse Function is a Reflection
Why is the graph of an inverse function just a reflection of the graph of the original function about the diagonal line y = x? The answer is social convention - not mathematics! In this video I explain!

Graphing Complex Numbers
In this video we give a very brief description of the mechanics to plotting complex numbers on a plane. Sounds dreary, but the motivation I offer that leads up to it is not! That's the interesting part.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 