Transformations of Sine and Cosine GraphsAlgebraLAB: Lessons

Transformations of Sine and Cosine Graphs

Introduction: In this lesson, the period and frequency of basic graphs of sine and cosine will be discussed and illustrated as well as vertical shift. The general sine and cosine graphs will be illustrated and applied.

The Lesson:

y = sin(x) and y = cos(x) are periodic functions because all possible y values repeat in the same sequence over a given set of x values. The “length” of this interval of x values is called the period. To refresh your memories on these periodic functions, review this lesson on their graphs.

The general form of a sine or cosine function is given in two different ways: