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
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.