What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below?

The transformation that has changed the parent function f(x) to the graph shown is:

                          f(x+2)

Step-by-step explanation:

We are given a parent function f(x) as:

and let the transformed function be:

g(x)

Clearly by looking at the graph of the transformed function we observe that:

at x=0

the value of the function lie between 0 and 1.

a)

f(x)-2

i.e. the function is given by:

At x=0 we have:

Hence, option (a) is incorrect.

c)

f(x)+1

at x=0 we have:

Hence, option (c) is incorrect.

d)

-1.f(x)

At x=0 we have:

Hence, option (d) is incorrect.

b)

f(x+2)

At x=0 we have:

Hence, option (b) is the answer.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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