Answer:
The required answer for blank 1 is
, for blank 2 is
, for blank 3 is 0, for blank 4 is 1 and for blank 5 is
.
Step-by-step explanation:
From the given table it is noticed that the value of function f(x) at x=-1 is 2 and the value of function f(x) at x=-2 is 4.
The exponential function is defined as

Where, a is initial value and b is growth factor.

Therefore the required answer for blank 1 is
.
So, the growth rate is
.
Since a is the initial value, therefore

Therefore the exponential function is


Therefore required answer for blank 1 is
, for blank 2 is
, for blank 3 is 0, for blank 4 is 1 and for blank 5 is
.
Answer:
a=16
Step-by-step explanation:
The distributive property states that

Therefore using the distributive property

=
Expanding the brackets
.....(i)
Comparing with the form
-----(ii)
The coefficient of y in (i) is 16 which corresponds to a and the likewise the coefficient of xy
Therefore, a=16
K is the distance of the vertical translation.
Since you shifted the graph 7 units down, k will be equal to 7
So g(x) = (0.5)x - 7 is f(x) vertically translated 7 units down
If g(x) is obtained by shifting f(x) down by 7 units
meaning that
g(x)=(0.5)~~~~~7 units to the bottom from f(x)-k?
I can't explain but k=-7
it's g(x)=f(x)-(-7)
so the k=7.
f(x)-k=f(g)-7
the original function of f(x) is obtained by shifting f(g) 7 units down, or by -7
so x=7
38,760 I think I have to do some reading about this cuz im really good at math like a High School Level but i think is 38k <span />