Question

What are the Values of h and k?

Answer 1

The answer: h=4 and k=-2.

Answer 2

Answer:

$h=4, k=-2$

Step-by-step explanation:

we know that

In the function f(x) the inflection point is at $(0,0)$

In the function g(x) the inflection point is at $(4,-2)$

so

the rule of the translation of f(x) to g(x) is equal to

$(x,y)-----> (x+4,y-2)$

That means-----> the translation is $4$ units to the right and $2$ units down

The equation of g(x) is equal to

$g(x)=(x-4)^{3} -2$

therefore

$h=4, k=-2$