Question

The graph of F(x) shown below has the same shape as the graph of G(x)=x^3-x^2 but it is shifted to the left one unit. What is its equation? HELP PLEASE!!

Answer 1

Answer:

Correct option: D

Step-by-step explanation:

If we want to shift the graph one unit to the left, we need to add one in the argument of the function, that is, we need to find G(x+1), and we do that by switching the values of x by (x+1) in the equation G(x)

So we have that:

G(x) = x^3 - x^2

Switching all values of x by x+1, we have:

G(x+1) = (x+1)^3 - (x+1)^2

So the correct option is D.