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2 answers:
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Answer:
Step-by-step explanation:
First off, let's change everything to a common denominator. This will allow us to add the fractions!
To find a common denominator, we find a number that both 4, 28, and 1 can go into. 28 is the best choice, as 4 goes into it 7 times, 28 goes into it once, and 1 goes into it 28 times.
Let's change the first fraction into a number with a denominator of 28!
= 1. Multiplying a number by one doesn't change its value.
The second fraction, , already has a denominator of 28, so we don't have to do anything with it.
Now to the third number, -1:
Now, let's add them all up!
One last step, to simplify:
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.