Answer:
Graph 4 is the right answer.
Step-by-step explanation:
Given [tex]g(x) =x^{3}-x[/tex]
So, [tex]5g(x-2) +1 = 5[(x-2)^{3}-(x-2) ] +1 = 5(x-2)^{3} -5x +11[/tex] ....... (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].
