Learning Resources

Focus A: Graphing Periodic Functions Using Transformations, Part I and Part II

Consider, for example, the sine function. The transformational form is written as 
, where: 

• A is the amplitude of the function and .
• 
• C is the horizontal translation identifying the x-coordinate of the key point: a maximum for cosine and a sinusoidal axis intercept for sine. It identifies where the x-coordinate of the point (0,0) is mapped for sine, and the x-coordinate of the point (0,1) is mapped for cosine.
• D is the sinusoidal axis calculated as .