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Transformations of functions: Traslations and Dilatations

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Transformations of functions: Traslations and Dilatations

Worksheet overview

Descripción:

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.

Orientación didáctica:

KNOWLEDGE TYPE: declarative

LEARNING OBJECTIVESTo 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.

PRIOR KNOWLEDGEThe contents of this course is taught in two courses next.

Licencia:

creative commons: attribution - non commercial - share alike

Descripción licencia:

The use of the following contents is universal, free of charge and open, provided that it is for non-commercial educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.

Destinatario:

alumne

Contexto:

company

General

Idioma:

english

Palabras clave: translations dilatations

Ambito: universal

Estructura:

lineal

Nivel de agregación:

Secuencia Didáctica

Colección: Descartes

Nodo:

INTEF

agrega.educacion.es

URL repositorio: /repositorio/12032010/28/es_2010031263_9150545

IMS Manifest Datei herunterladen

Técnica

Formato:

image/gif

text/html

Tipo requerimiento:

sistema operativo

Nombre requerimiento:

multi-os

Tipo requerimiento:

nabigatzailea

Nombre requerimiento:

any

Consideraciones instalación:

Installation is not required

Otros requisitos plataforma:

Install and enable the Java interpreter and Plug-in of the Applet Descartes on local

Educational use

Tipo recurso educativo:

escenari real o virtual d'aprenentatge

Tipo interacción:

combinado

Nivel interacción:

medio

Densidad semántica:

media

Edad: 15 years

Dificultad:

medio

Tiempo aprendizaje: 2 teaching units

Idioma educativo:

english

Proceso cognitivo:

begiratu

Rights

Coste licencia:

Tipo acceso:

unibertsala

Descripción acceso:

es_cnice_20080623,es_{nodo}_20080923,es_clm_20091103121523455,es_murcia_20080422121523455,es_valencia_20081215,es_contenidos_20080623,es_canarias_20090114,es_aragon_20080930,es_larioja_20081107,es_cantabria_20081215,es_extremadura_20090126,es_navarra_20090202,es_castillayleon_20080422121523455,es_andalucia_20090324