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Transformations
Transformations
Transformations of functions is a topic that you should have studied at GCSE and will become very important at A Level. At GCSE you are meant to know how you can shift a graph (translate) both horizontally and vertically, how you can stretch a graph in either direction, and reflect it in either axis.
This week we are going to explore some of these functions with graphs. We hope you will use this to make sure your understanding is secure.
There is a page at the end with challenges of patterns for you to recreate using transformations.
As you go through the transformations, you should be changing the numbers on the graphs so that you can see what is going on. You can select or deselect the line and the table of values.
Introduction
Introduction
We have created a function f(x) which creates a tick shape: you will be able to see the transformations clearly on this shape.
We will also be looking at a straight line, where you can easily do the algebra, and see what is happening to the maths.
We have defined our functions so that they are only valid for x values between 0 and 2, to make them easy to visualise.
We also encourage you to look at the tables of values, as this might help you understand what is going on.
But this works for ALL functions, so don't be afraid to change things and try your own (scroll down to see and change the definitions).
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