We want to write a rule for that represents the indicated of the graph of To do so, we will look at how the indicated transformations will affect the . Then we can apply them.
| Transformations of
| Horizontal Translations
The transformations given in the exercise are a in the
axis followed by a horizontal right
unit. We will first apply the reflection. Let
be the function that represents the reflection of
axis. Recalling that
we can write its rule.
Next, we will apply the translation to
To do so, we will subtract
from the input of
Finally, we will simplify the above formula.