This task is a followup to the one called 'Building an explicit quadratic function.' In this one, students follow the same process with a general quadratic function. The operations take place in the opposite order and the goal is to find...

The online assessment demonstrates knowledge of advanced mathematical concepts in Pre-Calculus. The questions evaluate students on translations of sine and cosine functions. Topics include horizontal and vertical shifts.

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.

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.

Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts.

This activity introduces the use of TRNSFRM APP and the effect of A and B in AX + B as well as discovering Amplitude, Period and Vertical shift of sinusoids with the aid of a slinky!

Students learn how to sketch a shifted and scaled function. Topics explored include horizontal scaling, vertical scaling, horizontal reflections, and vertical reflections. Class notes, examples, and practice problems are used to...

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.

This site provides everything you need to know about translating graphs. Plenty of examples and charts and very easy to understand.

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

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.

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...

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...

This program gives students a visual representation of sine curves. The hope is that students can relate properties of the ferris wheel to properties of the sine curve. The height of the center of the ferris wheel is their vertical...

Students show comprehension of advanced mathematical concepts in Trigonometry. The online quiz assesses the scholars on the graphs of trigonometric functions.

[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...

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.

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.

In Spanish. In this interactive activity you will see a visual explanation of the different kinds of translations and dilation of functions.

[Free Registration/Login may be required to access all resource tools.] Learn to identify when to use the Distributive Property.