Transforming Functions

A happy afternoon spent analysing how functions move as you change coefficients. If I know the shape of f(x), what do I know about the shape of cf(ax + b) + d? Use Desmos to see things quickly (but maybe also skate over deeper thought as to why?)

 

I love a table to organise thoughts:

img_4225
With lots of words
img_4219
With explanatory colours

Next time:

  • Go beyond “if it is in the brackets then it is the opposite of what you would expect” to a deeper understanding of how the graph moves
  • Tweak the activity to ensure that no graph can be drawn without deep thinking. An over-reliance on graphing software is a dangerous thing.

 

 

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