video record
Media not available in the Digital Archive
Description
This programme deals with the transformation of graphs by translation, scaling and reflection.
Metadata describing this Open University video programme
Module code and title: MS283, An introduction to calculus
Item code: MS283; 05
First transmission date: 11-04-1979
Published: 1979
Rights Statement: Rights owned or controlled by The Open University
Restrictions on use: This material can be used in accordance with The Open University conditions of use. A link to the conditions can be found at the bottom of all OU Digital Archive web pages.
Duration: 00:23:39
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Producer: Jack Koumi
Contributors: Mike Crampin; Roger Duke; Allan I.,1936-2013 Solomon
Publisher: BBC Open University
Keyword(s): Animation; Reflection; Translation
Footage description: An animated diagram shows the graph of a function being transformed into a graph of another function by translation and scaling. Allan Solomon introduces the programme. Mike Cranpin demonstrates the above transformation by going through the process one step at time. He manipulates shapes on a drawing board as he talks. An animated diagram is also used to illustrate his points. With the aid of an animation Allan Solomon and Mike Crampin consider the effects of the above transformations on function values in general. Mike Crampin works through a problem for students before setting them some problems to work at home. He shows why the graph of xl-x² is symmetric about the y axis. Crampin then goes on to set students several problems in which they are asked to explain the effects of certain transformations. Film shots of cars filling up at a petrol station introduce a discussion which relates the graph of a function to the graph of its inverse function. Commentary by Allan Solomon. Roger Duke looks at the concept of inverse functions graphically. He uses the petrol pump sequence above as an example. Animated diagrams are shown and curves are manipulated on a drawing board by Duke as he talks.
Master spool number: 6HT/73036
Production number: FOUM042B
Videofinder number: 456
Available to public: no