Question

The graph below have the same shape. What is the equation of the red graph

Answer 1

g(x) = x³ - 1

(option C)

Explanation:

We know that the shape of the graph has not changed, as stated in the question, meaning that the change has not happened as a direct change to x (like 2x³ instead of x³).

The entire graph has been moved down and not left/right, which would have happened inside the parenthesis (like g(x) = (x³ - 3)).

Because it has been shifted down (as evident by the y-intercept), and we know that the shape has not changed, we know that the original function was shifted down 1 --which can be expressed by the equation g(x) = x³-1

Answer 2

G(x)=x³-1

because it intersect at the negative side of y