For this case we have the following original function:

We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph f (x) - k, move the graph k units down.
Applying the transformation for k = 5 we have:

Therefore, the graph moves 5 units down.
Answer:
Third graph
Poor kid, next time ask your parents or teacher for help or try to find a smart friend that can help you. Go to bed if it is late and make sure you understand your homework before taking it home. Good luck!! :))
Answer:
a = 20
Step-by-step explanation:
7a + 2a + a − 9a = 20
Combine like terms
10a -9a = 20
a =20
1, 4, 9, 4, 10, 8, 42
Put this into order.
1, 4, 4, 8, 10, 42
It would most definitely not be the mode, because there is an outlier, and it wouldn't be the median, because once again, there is an outlier.
So, that leaves you with the mean.
The mean would measure this the best because it'll represent it the best. It is also the only one that'll fully make sense.
So, your answer is : The mean.
~Hope I helped!~
Answer:
2/3 or 0.67
Step-by-step explanation:
Slope = y2 - y1 /x2 - x1
Given
x1 = 1
y1 = 8
x2 = 9
y2 = 12
Slope = 12 - 8 /9 - 1
= 4/6
Reduce is by 2
2/3
Or
0.67