Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we have
The parent  function is 
This is a vertical parabola open upward with vertex at origin (0,0)
Part 1) Reflection over the x-axis
The rule of the reflection across the x=axis is equal to
(x,y) ------> (x,-y)
so
f(x) -----> g(x)
The function g(x) will be

Part 2) Horizontal shift left 3 units
The rule of the translation is
(x,y) ------> (x-3,-y)
so
f(x) -----> g(x)
The function g(x) will be

Part 3) Vertical shift up 7 units
The rule of the translation is
(x,y) ------> (x,y+7)
so
f(x) -----> g(x)
The function g(x) will be

 
        
                    
             
        
        
        
Make the table and cross multiply
 
        
             
        
        
        
Answer:
3,750
Step-by-step explanation:
because you need to do 7 * 75 * 50 and you will get the answer but it will be 3007 715 so that would be 7 3750h fences 
 
        
             
        
        
        
Answer:
Juan travel 31.4 feet farther than Fred in one rotation.
Step-by-step explanation:
In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:
 (Eq. 1)
Where:
 - Radius, measured in feet.
 - Angular arch, measured in radians.
 - Change in linear position, measured in feet.
If both makes one rotation in the carousel, we obtain the change in linear position of each player:
Fred (
, 
)



Juan (
, 
)



And the difference between both travelled distances is:


Juan travel 31.4 feet farther than Fred in one rotation.