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Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions
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.
California State University
Ca State University, San Bernadino: Graphing Techniques
A survey of math graphing techniques includes horizontal and vertical shifts, stretching, lines of symmetry, even and odd functions, and absolute value functions.
Purple Math
Purplemath: Graphing Trigonometric Functions
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.
Lawrence Hall of Science
The Math Page: Trigonometry: Graphs of the Trigonometric Functions
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...
Hofstra University
New Functions From Old: Scaled and Shifted
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...
McGraw Hill
Glencoe: Online Study Tools: Quiz on Graphs of Trigonometric Functions
Students show comprehension of advanced mathematical concepts in Trigonometry. The online quiz assesses the scholars on the graphs of trigonometric functions.
CK-12 Foundation
Ck 12: Algebra: Graphs of Polynomials Using Transformations
[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...
Richland Community College
Richland Community College: Shifting, Reflecting, Stretching Graphs
This site provides everything you need to know about translating graphs. Plenty of examples and charts and very easy to understand.
Texas Instruments
Texas Instruments: Sine and Cosine
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.
Texas Instruments
Texas Instruments: Numb3 Rs: Changing Sines
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...
Paul Dawkins
Paul's Online Notes: Algebra: Transformations
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.
PBS
Pbs Teachers: Toothpicks and Transformations [Pdf]
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.
Windstream
Ojk's Precalculus Study Page: Translations of Sine and Cosine Curves
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.
CK-12 Foundation
Ck 12: Algebra: When to Use the Distributive Property
[Free Registration/Login may be required to access all resource tools.] Learn to identify when to use the Distributive Property.