Question

What are the Values of h and k?

Answer 1

`h=4, k=-2`

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`