mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
{{ searchError }}
search
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}

# Transformations of Exponential Functions

## Exercise 1.11 - Solution

We want to graph the given function as a transformation of the function Looking at the equation, we can see that the function has been translated units to the left and units down. Let's show the transformations one at a time.

### Horizontal Translation

Firstly, let's consider the function This is a horizontal translation of to the left by units.

### Vertical Translation

Finally, we will consider the function This is a vertical translation of down by units.

Therefore, we can notice that the obtained graph is shown in choice C.