The graph of f(x) = |x| is shown below. write the equation for the stretched graph, g(x). step 1: start with the equation g(x) = k • f(x). substitute the known point and solve for k. show your work. step 2: use the value of k that you found in step 1 to write an equation for g(x)

Hello!

Step 1:

To find the value of k, you would need to substitute the ordered pair (2, 6), into the equation: g(x) = k · f(x).

6 = k · |2| (divide both sides by 2)

The answer to step one is k = 3.

Step 2:

Since the value of k is 3, we substitute k into the equation: g(x) = k · f(x).

The answer for step two is g(x) = 3|x|.

c: lkllmn.

hope it's you

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.