Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3? right 2, up 3 left 2, down 3 right 2, down 3 left 2, up 3

we have

This is a vertical parabola open upward

The vertex is the point

This is a vertical parabola open upward

The vertex is the point

The rule of the translation of f(x) to g(x) is

that means

the translation is units to the right and units up

therefore

the answer is the option

right 2, up 3

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.

2 1/2 feet

step-by-step explanation: