4th year of secondary education (Group B).

INDEX
 

Introduction

Aims

Translations of functions.

Dilatation of functions.

Transformations of functions:
Translations and Dilatations.
INTRODUCTION

This unit focuses on the changes produced on the graph of a real function with a real variable when any of the unknown factors are altered to the same factor added to or multiplied by a constant.

In the first example we will see that the result is a graph of a function which is the same shape as the original one, but which has moved from its initial position. From then we will refer to it as a translation. In the second example we get a similar result but the change is either more noticeable or more subtle. In this case we will refer to it as a dilatation.

AIMS
  • To predict what the shape of the graph of the function will be, once the transformations have been carried out.
  • To know how to relate the function to a simpler one (by using translation or dilatation) thus allowing us to predict the shape of the graph.

  Francisco José Merayo González
 
Spanish Ministry of Education. Year 2001
 
 

Licencia de Creative Commons
Los contenidos de esta unidad didáctica están bajo una licencia de Creative Commons si no se indica lo contrario.