Answer:
Option C.
Step-by-step explanation:
If k<0, the function g(x) = f(x) + k represents the function f(x) shifted k units downwards.
In this case, given that k=-3 (k<0). The graph was shifted 3 units down. Therefore, the correct option is Option C.
Answer:

Step-by-step explanation:
Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

We're given that the radius=8 and height=56



The length of BC is 72 I hope this will help uh
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and
is the decay factor and
is the growth factor.
The exponential function passes through the point (0,6). Substituting
in (i), we get



The exponential function passes through the point (1,2). Substituting
in (i), we get




Here,
lies between 0 and 1. Therefore, the decay factor of the given exponential function is
.
Hence, the correct option is A.