The graph of g(x)=x^3 -x is shown.
(picture 1)

which is the graph of .5g(x-2)+1
(answer choices pics 2-5)

Graph 4 is the right answer.

Step-by-step explanation:

Given

So, ....... (1)

The graph 2 shows that the function should pass through (0,-2) but the point does not satisfy equation (1).

Graph 3 again shows that the function should pass through (0,-2) point but the point does not satisfy equation (1).

Graph 4 shows that the function should pass through the point (1,1) and this point satisfies the equation (1).

And graph 5 shows that the function should pass through the point (-1,-1) but this point does not satisfy the equation (1).

Therefore, the graph 4 is of [5g(x-2) +1].

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2