Write an equation for a sine function and for a cosine function. sine:
vertical shift - 3
horizontal shift - 0
amplitude - 2
period - 2pi
domain - sin(3x)

cosine:
vertical shift - -3
horizontal shift - 4
amplitude - 2
period - 2pi
domain - cos(2x + 5)

1/2

Step-by-step explanation:

f(x) = A sin (Bx - C) + D

amplitude = |A|

period =

phase shift =

vertical shift = D

A

amplitude of 3 is given so  3 = |A| → A = ± 3, since it is stated that this is a positive function, then A = 3

B

period of 6π is given so

C

D

vertical shift of -1 is given so -1 = D

Now, substitute the values of A, B, C, and D into the formula (above):

Next, solve when x = 2π

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)