Question

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

Answer 1

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

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`O (0;0)` which acts as a symmetry center has been replaced by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.