Answer:
- Stretching the parent function
vertically .
- Shifting the parent function
5 units right.
Step-by-step explanation:
<h3>
The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function
represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function
transformed to create the graph of 
?
"</h3><h3 />
Below are some transformations for a function :
1. If
, the function is shifted "k" units up.
2. If
, the function is shifted "k" units down.
3. If
, the function is shifted "k" units right.
4. If
, the function is shifted "k" units left.
5. If
and
the function is stretched vertically by a factor of "b".
6. If
and
the function is compressed vertically by a factor of "b".
The exercise gives the following parent function:

And you know that the transformed function which represents the remaining time in minutes needed to fill the tank, is:

Therefore, based on the transformations explained before you can identify that the graph of the transformed function is created by:
- Stretching the parent function
vertically.
- Shifting the parent function
5 units right.