Suppose that G(x) = F(x) + 6. Which statement best compares the graph of G(x) with the graph of F(x)?
O A. The graph of G(x) is the graph of Fx) shifted 6 units to the right.
O B. The graph of G(X) is the graph of F(x) shifted 6 units up.
O C. The graph of G(x) is the graph of F(X) shifted 6 units down.
O D. The graph of G(x) is the graph of Fx) shifted 6 units to the left.

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  B. (the correct choice is marked)

Step-by-step explanation:

The value of the function for a given x is the vertical position of the point on the graph. Adding 6 to the function value shifts the graph up 6 units.

The graph of G(x) is the graph of F(x) shifted 6 units up.

50.6

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.