Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
2. Transformations of Linear and Absolute Value Functions
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Exercise 14 Page 16

Determine which operation should be used for each transformation and apply the desired transformations in order.

Practice makes perfect

To write the function rule 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.

Reflections
Using the table, let's apply the given transformation, a reflection in the -axis, by substituting for each in the equation.
Next, we can replace with and complete the function rule.

Checking the Answer

To verify your answer, enter the function rules in the calculator by pushing and writing them in the first and second rows. Next, by pushing the calculator will draw the graphs of the functions.

TI räknarfönster för window
Window with a graph

Looking at the graph, we can confirm that our solution is correct.