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.

Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts. Students receive immediate feedback and have the opportunity to try questions repeatedly,...

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

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...

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.

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

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

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.

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.

A survey of math graphing techniques includes horizontal and vertical shifts, stretching, lines of symmetry, even and odd functions, and absolute value functions.

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

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...

[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...