OML Search

Transforming Sine and Cosine Graphs

Related Topics:
More Lessons for High School Regents Exam
Math Worksheets



High School Math based on the topics required for the Regents Exam conducted by NYSED.

The following diagram shows how to transform sine and cosine graphs. Scroll down the page for more examples and solutions on how to graph sine and cosine functions.

Transform Sine Cosine Graphs

Graphing Sine and Cosine With Different Coefficients (Amplitude and Period)
Examples:
State the amplitude and period of each of the following functions.
a) y = -4 cos (3x)
b) y = 1/2 sin x
c) y = √2 cos(1/2 x)



Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts
Examples:
Graph y = 2 cos (x - π/2) + 1 Graphing Sine and Cosine with Phase (Horizontal) Shifts
Examples:
What is the phase shift for each of the following functions
a) y = cos(x - 4)
b) y = sin (2(x + 1))
c) y = cos(10x + 30) An Introduction to the Graphs of Sine and Cosine Functions


Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.