Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
7. Transformations of Polynomial Functions
Continue to next subchapter

Exercise 29 Page 210

When applying a transformation to a function just after another took place, there are some cases where the order in which we apply transformations is important and in others it is not. We will consider the parent function to discuss both cases, one at a time.

Consecutive Transformations Where the Order Doesn't Matter

Suppose that we want to apply a horizontal translation and a reflection in the to In this case the order in which we apply them is not important, since the resulting offspring function will be the same in both cases. We can see this in the graphs shown below.

Another example is applying a vertical stretch and a reflection in the

Notice that these are just some examples, as there are other combinations of transformations where the order does not matter.

Consecutive Transformations Where the Order Matters

If we now consider applying a horizontal translation and a reflection in the to to then the order in which we apply them is important. Note that the resulting offspring function will not be necessarily the same in both cases. We can see this in the graphs shown below.

Similarly, when doing a vertical translation and a reflection in the the order matters.