Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
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Exercise 12 Page 20

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

g(x)=-3|x+5|

Practice makes perfect

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.

Reflections
In the x-axis y= - f(x) In the y-axis y=f( - x)
Using the table, let's apply the given transformation, a reflection in the x-axis, by multiplying both sides of the equation by -1.
f(x)=3|x+5|
-f(x)= -3|x+5|
Next, we can replace - f(x) with g(x) and complete the function rule. g(x)=-3|x+5|