Answer:
- vertical scaling by a factor of 1/3 (compression)
- reflection over the y-axis
- horizontal scaling by a factor of 3 (expansion)
- translation left 1 unit
- translation up 3 units
Step-by-step explanation:
These are the transformations of interest:
   g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k
   g(x) = f(x) +k . . . . vertical translation by k units (upward)
   g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis
   g(x) = f(x-k) . . . . . horizontal translation to the right by k units
__
Here, we have ...
   g(x) = 1/3f(-1/3(x+1)) +3
The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:
- vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
- reflection over the y-axis . . . 1/3f(-x)
- horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
- translation left 1 unit . . . 1/3f(-1/3(x+1))
- translation up 3 units . . . 1/3f(-1/3(x+1)) +3
_____
<em>Additional comment</em>
The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.
The horizontal transformations could also be described as ...
- translation right 1/3 unit . . . f(x -1/3)
- reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)
The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.
 
        
             
        
        
        
If you divide 6 by 8= 0.75, which is equivalent to 75%. So Amber made 75% of her free throws. 
        
                    
             
        
        
        
Answer:
 Main hu haha
Step-by-step explanation:
hii!! how are you??
 
        
             
        
        
        
Let s equal the number of shirts she can buy
140 > $28.50 + $20.75s
111.50 > 20.75s
5.37 > s
so we round down.  she can buy 5 shirts, plus the one dress and she would spend less than $140
        
             
        
        
        
Answer:
- 5/48, 3/16, .5, .75, 13
- 1/5, .35, 12/25,  .5, 4/5
- -3/4, -7/10, 3/40, 8/10
- -.65, -3/8, 5/16, 2/4
Step-by-step explanation:
- 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
- 1/5 = .2 | 12/25 = .48 | 4/5 = .8
- -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
- -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5