Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Logarithms and Exponentials

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.9

## Logarithmic Transformations

#### Activity Overview

Test knowledge and determine the logarithmic function for a given graph.

#### Objectives

Change the parameters of the logarithmic function y=a*log(b(x - h))+ k to discover that changes in:

• k result in vertical translations
• h result in horizontal translations
• a result in vertical stretches and compressions (dilations), as well as reflections across the x-axis
• b result in horizontal stretches and compressions (dilations), as well as reflections across the y-axis

#### Vocabulary

• Translation
• Dilation
• Compression
• Stretch
• Reflection
• Transformation

#### About the Lesson

This lesson involves graphing logarithmic functions of the form y = a* log(b(x - h)) + k. As a result, students will:

• Manipulate given parameters and make conjectures about the relationships between the parameters’ values and the effects on the graph of the resulting logarithmic function.
• Test knowledge and determine the logarithmic function for a given graph.