Education Technology

# Transformations: Dilating Functions

Math: Algebra II: Functions
9-12
45 Minutes
TI-Nspire™ CX/CX II
TI-Nspire™ CX CAS/CX II CAS
3.6
Lessons
TNS

# Transformations: Dilating Functions

Activity Overview

Dilate and reflect different types of function graphs by grabbing points.

Objectives

• Students will explore how positive and negative leading coefficients in a function can dilate or reflect the graph of the function.
• Students will graph and analyze absolute value functions.
• Students will analyze the structure of a function and its graph to determine the value of a coefficient in the function.

Vocabulary

• vertical dilation
• reflection
• vertical stretch
• vertical shrink

This lesson involves dilating and reflecting different types of function graphs by grabbing points. As a result, students will understand:

• How multiplying a function by a leading coefficient vertically stretches or shrinks a graph.
• How multiplying by a negative leading coefficient reflects the graph through the x-axis.