Answer:
[tex]h=4, k=-2[/tex]
Step-by-step explanation:
we know that
In the function f(x) the inflection point is at [tex](0,0)[/tex]
In the function g(x) the inflection point is at [tex](4,-2)[/tex]
so
the rule of the translation of f(x) to g(x) is equal to
[tex](x,y)-----> (x+4,y-2)[/tex]
That means-----> the translation is [tex]4[/tex] units to the right and [tex]2[/tex] units down
The equation of g(x) is equal to
[tex]g(x)=(x-4)^{3} -2[/tex]
therefore
[tex]h=4, k=-2[/tex]
