Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions

For Students 9th - 10th Standards
Hotmath provides 20 practice problems on graphs of trigonometric functions. Each of the practice problems include a step-by-step guide for solving their graphs.
Activity
California State University

Ca State University, San Bernadino: Graphing Techniques

For Students 9th - 10th
A survey of math graphing techniques includes horizontal and vertical shifts, stretching, lines of symmetry, even and odd functions, and absolute value functions.
Handout
Purple Math

Purplemath: Graphing Trigonometric Functions

For Students 9th - 10th Standards
This resource explains how to relate constants in trigonometric function to amplitudes, vertical shifts, periods, and horizontal or phase shifts with the help of many solved examples for various trigonometric functions.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Graphs of the Trigonometric Functions

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to graph each of the six trigonometric functions and determine the period, amplitude, phase shift, and vertical shift of each. There are example problems solved, problems for the...
Graphic
Hofstra University

New Functions From Old: Scaled and Shifted

For Students 9th - 10th
Includes rules, examples, and sample problems on 6 different types of translations; vertical and horizontal shift, stretch, and reflection. Uses six basic functions (x, x^2, x^3, 1/x, x^1/2, and abs(x)) throughout examples, which makes...
Unknown Type
McGraw Hill

Glencoe: Online Study Tools: Quiz on Graphs of Trigonometric Functions

For Students 9th - 10th Standards
Students show comprehension of advanced mathematical concepts in Trigonometry. The online quiz assesses the scholars on the graphs of trigonometric functions.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Polynomials Using Transformations

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
Handout
Richland Community College

Richland Community College: Shifting, Reflecting, Stretching Graphs

For Students 9th - 10th
This site provides everything you need to know about translating graphs. Plenty of examples and charts and very easy to understand.
Lesson Plan
Texas Instruments

Texas Instruments: Sine and Cosine

For Teachers 9th - 10th
This set of questions measures knowledge of amplitude, horizontal and vertical shift, and periods of sine and cosine graphs. Questions are multiple-choice and true/false; solutions are included.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Changing Sines

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduced students to the various parameters used in graphing the elementary sine function. Technology use is very heavy, as students are encouraged to graph different sinusoidal...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Transformations

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at vertical and horizontal shifts of graphs as well as reflections of graphs about the x and y-axis, often called transformations.
Lesson Plan
PBS

Pbs Teachers: Toothpicks and Transformations [Pdf]

For Teachers 9th - 10th
Using calculators, students investigate quadratic functions using geometric toothpick designs in this lesson that with a review of transformations of quadratic functions, vertical and horizontal shifts, and stretches and shrinks.
Activity
Windstream

Ojk's Precalculus Study Page: Translations of Sine and Cosine Curves

For Students 9th - 10th
This study tutorial covers more advanced graphing of sine and cosine functions, including horizontal and vertical translations (phase shifts and vertical shifts). Includes several examples and graphs.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: When to Use the Distributive Property

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn to identify when to use the Distributive Property.