Answer:
Shift 4 units down: 
Stretching f(x) by 4 : 
Shift 4 units left:  
Compress by 1/4 units : 
Step-by-step explanation:
Given

Required
Match the transformations (See attachment)
<u>Shift 4 units down</u>
Shifting down a function is represented as:

In this case:

Substitute expression for f(x) and 4 for b in 


<u>Stretching f(x) by 4 </u>
Stretching a function by some units is represented as:

In this case:

Substitute expression for f(x) and 4 for b in 


<u>Shift 4 units left</u>
Shifting a function to the left is represented as:

In this case:

Substitute expression for f(x) and 4 for b in 

Calculating f(x - 4)




Hence:

<u>Compress by 1/4 units </u>
This means that the function is stretched by 
Compressing a function is represented as:

In this case:



Substitute expression for f(x) and 4 for b in 

Calculating f(4x)


Hence:

 
        
             
        
        
        
Answer:
s=-2
Step-by-step explanation:
Explanation in picture
 
        
                    
             
        
        
        
The equation looks like this: 
26=x*3.5+8.50
where x is the number of pen you bought. 
We solve it like this: 
first, we subtract 8.50 from both sides: 
17.50 =3.5*x
now we divide both sides by 3.5:
5=x
so you purchased 5 pens.
        
             
        
        
        
She needs to score a 91 on her next test because 85+78+77+69+91=400 and 400 divided by 5 gives you a mean of 80.