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)=∣x−4∣−3
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.
Horizontal Translations | |
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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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To verify your answer, enter the function rules in the calculator by pushing Y= and writing them in the first and second rows. Next, by pushing GRAPH, the calculator will draw the graphs of the functions.
Looking at the graph, we can confirm that our solution is correct.