Education Technology

# Transformations of Functions 1

Math: Algebra I: Functions and Relations
9-12
45 Minutes
TI-Nspire™ Apps for iPad®
TI-Nspire™ CX/CX II
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™
TI-Nspire™ CAS
3.2
Lessons
TNS

# Transformations of Functions 1

Activity Overview

This lesson investigates vertical and horizontal translations of a function.

Objectives

• Students will recognize the effect of a horizontal and vertical translation on the graph of a function.
• Students will relate the transformation of a graph y = f(x) by a horizontal and vertical translation to the symbolic representation of the transformation: that is y = f(x) + k shifts the graph up or down and y = f(x - h)shifts the graph right or left.
• Students will combine translations to describe the graph of the function y = f(x - h) + k in terms of y = f(x).

Vocabulary

• Vertical translation
• Horizontal translation

About the Lesson

This lesson involves investigating vertical and horizontal translations of a function. As a result, students will:

• Recognize how transformations of the form y = f(x) + c and y = f(x – h) change the graph of y = f(x).

Download Files
Math: Algebra I: Functions and Relations
9-12
45 Minutes
TI-Nspire™ Apps for iPad®
TI-Nspire™ CX/CX II
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™
TI-Nspire™ CAS
3.2
Lessons
TNS
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