[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 shows that the translation works with other functions such as f(x) = sin(x).
[b]Stretch parallel to the x axis [/b] – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=f(ax). Starting with the graph of y = (x+a)[sup]2[/sup], different values of a are added or subtracted to the graph. The explanation continues to show that the graph is translated parallel to the x axis by a units. The next example shows that the translation works with other functions such as f(x) = sin(x).
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| Subject(s) | Mathematics |
|---|---|
| Tags | n.a |
| Age | 7-11, 11-14 |
| Published | 2010 to 2019 |
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| URL | https://www.stem.org.uk/rx3247 |
Published by
William Emeny