The value of k will be 3 if the function is transformed by compression factor of 3
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.
As it is given in the question that he function is transformed by a compression factor of 3.
Given function
The value of k will be 3 if the function is transformed by compression factor of 3
Keywords: Functions, Transformation
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6 3/4 would be your answer
To solve this problem you must apply the proccedure shown below:
1. You have the following points given in the problem above:
2. To find the midpoint, you must apply the formula that is used for calculate it. This is:
Where:
3. Now, you must substitute these values into the formula for calculate the midpoint, as following:
Therefore, the answer is: 
Point form:
(2,6)
Equation form:
X=2, y=6
Move to right c units means minus c from every x
wider means horizontal strech, means multiply every x by r where |r|>1
so
the new function would be
f(x)=r|x-2| where |r|>1
