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
Answer:
m = 6
Step-by-step explanation:
First, add like terms:
2m + 7m + 3m = 72
12m = 72
Divide each side by 12:
m = 6
So, the answer is m = 6
Since we are evaluating, we use PEMDAS so we know the order the operations. Follow PEMDAS:
Original Expression: (-1)8+(-1)7-16-14-(-1)2.
Evaluating: -8-7-16-14+2
-8-7=-15-16=-31-14=-45+2=-43.
The answer is -43 according to PEMDAS.
Answer:
2%
Step-by-step explanation:
Find the sales tax rate by dividing the amount of sales tax by the original cost:
6.40/320
= 0.02
So, the sales tax rate is 2%
Plug x = 3 into the first piece to get
2(x+1) = 2*(3+1) = 2*4 = 8
Do the same for the last piece
x^2 - 1 = 3^2 - 1 = 9-1 = 8
So as we approach x = 3 from either the left or right side, the limiting value is 8
The final answer is 8