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Answer:
The function that can be used in the online shopping club about its monthly revenue is:
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
- 10,000 members
- $7 per month for membership
- Loses of 400 members by each $1 monthly increase
How the variable represents the price increase, we can do the formula below:
In this formula, we represent in the first part that by each 1 in the variable , the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of
. Now we must simplify this function:
We operate the values:
Solve we can:
And organize:
At the end, how represents the monthly revenue received by the club, we use that variable for our formula:
For this case, the main function is given by:
We can apply the following transformation:
Horizontal displacements:
Assume h> 0:
To graph f (x + h) move the graph of f (x) h units to the left.
For h = 1 we have:
Answer:
the graph y=6(x+1)^2 is the graph y=6x^2 moved 1 unit to the left.