Looking at the forms of sinusoidal functions, we can see that they are transformations of the sine and cosine functions. We can use what we know about transformations to determine the period.

Support us and buy the AP Pre-Calculus workbook with all the packets shipped to you as a physical copy. Lesson 3.6A focuses on amplitude, vertical shift, and period of a sinusoidal …

Students investigate how adding a constant to a sine or cosine function, multiplying the function by a constant, adding a constant to the argument of the function, multiplying the argument by a …

There two transformations going on, the horizontal stretch and the phase shift. To stretch a function horizontally by factor of n the transformation is just f (x/n). So the horizontal stretch is …

Nov 1, 2025 · Sinusoidal functions can be shifted vertically by adding or subtracting a quantity to the output of the function. This type of shift can be written as f (x) + k = s i n (x) + k A positive k …

In this presentation we discuss transformations of trigonometric functions.

horizontal stretch vertical stretch Remember: Lesson 5.2: Transformations of Sinusoidal Functions (Sine and Cosine) Graph the functions Example 1: Part A: Reflections on the x and yaxis