Question

How does the graph of g(x)=(x+2)3-6 compare to the parent function of f(x) = x³?

Answer 1

Answer:

The graph has been moved two units to the left and six units to the bottom.

Step-by-step explanation:

You can rewrite your function as $y+6= (x+2)^2$ which can also be rewritten as $Y= X^3$ who has the same shape as the parent function. The main difference is that the point $O (0;0)$ which acts as a symmetry center has been replaced by $O' (-2;-6)$; the whole graph has been moved two units to the left and six units to the bottom.