• • • ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

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Precalculus: Transformations of Logarithmic Functions
by Texas Instruments

#### Objectives

• Students will explore the family of logarithmic functions of the form f(x) = c*logb(x+a) and describe the effect of each parameter on the graph of y = f(x)
• Students will determine the equation that corresponds to the graph of a logarithmic function.
• Students will understand how a vertical shift in the graph of a logarithmic function is related to properties of logarithmic functions.

#### Vocabulary

• logarithmic function
• natural logarithm
• parameter
• translation
• reflection

#### About the Lesson

This lesson involves the family of logarithmic functions of the form f(x) = c*logb(x+a).

As a result, students will:

• Manipulate minimized sliders, and observe the effect on the graph of the corresponding logarithmic function.
• Make a general statement about the effect of each parameter on the graph of the logarithmic function.
• Match specific logarithmic functions with their corresponding graphs.
• Relate properties of logarithmic functions to vertical translations of their graphs.