2. Transformations of Linear and Absolute Value Functions
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Determine which operation should be used for each transformation and apply the desired transformations in order.
g(x)=∣∣∣∣∣21x−1∣∣∣∣∣
To write the function rule g(x), let's look at possible transformations. Then we can more clearly decide which operations should be used to apply the desired transformations to the parent function.
Transformations of f(x) | |
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Horizontal Translations | Translation right h units, h>0y=f(x−h)
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Translation left h units, h>0y=f(x+h)
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Horizontal Stretch or Shrink | Horizontal stretch, b>1y=f(b1x)
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Horizontal shrink, 0<b<1y=f(b1x)
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