Tuesday, July 1, 2014

Transformation Post 6

Enlargement
This transformation is exactly what it sounds like.  It is when we enlarge the object. 

I always think of enlargement transformations a bit like a shadow puppet.  There are there three things in play... 
There must be an object (in this case the hands). 
There must be an image (the shadow), and,
Finally there must be a source of light (we call this the centre of enlargement). 

The mathematics here is the idea of a scale factor (how many times as big the image will be that the object).  In this deer picture the shadow is about 1.5 times the size of the hands... this means there is a scale factor of 1.5. 

In ncea level one we use the symbol k for scale factor.  So the deer shadow would be an enlargement k = 1.5. 

 
Note that there is a possibility of a fraction enlargement (which makes it smaller).  That is when k is a fraction.  You won't need this for Achieve. 

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