Transformations

Transformation of Functions

Introduction

A transformation of a function shifts the parent function to another location on the coordinate plane. For this lesson we will focus on two types of transformations: translations and reflections. A translation shifts the graph left or right, or up or down. A reflection flips the graph across a line, such as the x or y-axis. For this lesson we will use the parent functions listed below:

Linear: Transform1-1 Power: Transform1-2 or Transform1-3
Absolute Value: Transform1-4 Square Root: Transform1-5
Rational: Transform1-6 or Transform1-7 Exponential: Transform1-8
Logarithmic: Transform1-9