In the applet below is intended to help you understand the connection between the graph of a function and the function itself. Recall that a function can be thought of as a machine which takes an ...

4x + 3\) and draw its graph for values of \(x\) from –2 to 5. Plot the \(x\) and \(y\) values as coordinates and join them with a smooth curve. This is a typical shape for a quadratic function.

Function Carnival helps students get a handle on confusing graphs lessons and helps them experiment to resolve misunderstandings. Through video, graphing, and replaying graphs as animations students ...

In a function such as sine or cosine, we could also have a translation of the form: \(y = \sin (x - a)^\circ\) where \(a\) is called the phase angle. This is when the graph of the function has ...