Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
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Exercise 11 Page 20

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

g(x)=-3/2|x-4|

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.

Vertical Stretch or Shrink
Vertical stretch, a>1 y= af(x) Vertical shrink, 0< a< 1 y= af(x)
Using the table, let's apply the given transformation, a vertical shrink by a factor of 12, by multiplying both sides of the equation by 12.
f(x)=-3|x-4|
1/2f(x)= 1/2(-3|x-4|)
1/2f(x)=-3/2|x-4|
Next, we can replace 12f(x) with g(x) and complete the function rule. g(x)=-3/2|x-4|