Answer:7881 years
Step-by-step explanation:
You can use the equation
fraction remaining = 0.5n where n is # of half lives elapsed
n = ?
fraction remaining = 1 - 0.612 = 0.388
0.388 = 0.5n
n = 1.37 = the # of half lives
1.37 x 5750 yrs = 7881 years
To transform the function

to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have

To transform the function

to have the midline

we need to subtract

by 4, so we have

,
To transform the function

to have period of

, we need to divide the original period

by 4, so we have

. Note that it is the

gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given

which is the last option
Step-by-step explanation:
hope i helped pleae mark brainliest