Question

Given the parent function of f(x) = x3, what is the value of k in the translated graph of f(x − h) + k?

Answer 1

k=2

Explanation:

I just did the assignment

Answer 2

we have

`f(x)=x^(3)`

we know that

The point
`(0,0)` in the graph of f(x) is the point
`(3,2)` in the translated graph

so

The rule of the translation is

`(x,y)----> (x+3,y+2)`

That means

The translation is
`3` units to the right and
`2` units up

The equation of the translated graph is equal to

`f(x)=(x-3)^(3)+2`

therefore

The answer is

the value of k is equal to

`k=2`

see the attached figure to better understand the problem