Graph Transformations

This collection of videos has three sections.

The first resource explains what is meant by function notation and how transformations can be expressed using this notation.

The second resource contains two videos showing how graphs can be translated. The graphs are shown along with the relevant notation.

The third resource contains two videos showing how graphs can be stretched. The graphs are shown along with the relevant notation.

Resources

Introduction to Graph Transformations

[b]Introduction to graph transformations [/b] – The video begins by suggesting that all graphs in a family are related in some way. There follows a useful explanation of function notation linking the notation to the inputs and outputs of a function machine.

The four graph transformations; translate...

Stretches

[b]Stretch parallel to the y axis [/b] – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=af(x). Starting with the graph of y = x[sup]2[/sup], different values of a are used to show that the graph is stretched from the x axis parallel to the y axis. The next example...

Translations

[b]Translate parallel to the y axis [/b] – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=f(x)±a. Starting with the graph of y = x[sup]2[/sup], different values of a are added or subtracted to the graph. The explanation continues to show that the graph is translated...

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