I'm going to rewrite the equation assuming this is the correct form:
 
 
        
        
        
Answer:

Step-by-step explanation:
we know that
In the function f(x) the inflection point is at 
In the function g(x) the inflection point is at 
so
the rule of the translation of f(x) to g(x) is equal to

That means-----> the translation is  units to the right and
 units to the right and  units down
 units down
The equation of g(x) is equal to

therefore

 
        
                    
             
        
        
        
Answer:
27 chickens
Step-by-step explanation:
A chicken farmer also has cows for a total of 30 animals
Both animals have a total of 66 legs
Let a represent the number of chicken
Let b represent the number of cows
a + b= 30........equation 1
Since a chicken has only two legs and a cow has four leg then, the expression can be represented as
2a + 4b= 66........equation 2
From equation 1
a + b= 30
a = 30-b
Substitute 30-b for a in equation 2
2a + 4b= 66
2(30-b) + 4b= 66
60 - 2b + 4b= 66
60 + 2b= 66
2b= 66-60
2b= 6
b= 6/2
b= 3
Substitute 3 for b in equation 1
a + b = 30
a + 3=30
a= 30-3
a= 27
Hence the farmer has 27 chickens 
 
        
             
        
        
        
Answer:
We have that:

And we want to find the value of g(4)
Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.
If we do that, we get:

Now we can just solve this to get:

 
        
             
        
        
        
That is the centroid.
The point where the lines from each vertex of the triangle  to the midpoints of the opposite sides intersect.