Education Technology

Algebra 2: Logarithmic Transformations
by Texas Instruments

Updated on October 03, 2014

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.