Question

The graph of h(x) is a translation of f(x)=3 √x

Answer 1

B

Explanation:

Answer 2

`h(x)=\sqrt[3]{x+2}`

Explanation:

we have

`f(x)=\sqrt[3]{x}`

The inflection point of f(x) is the point
`(0,0)`

The inflection point of h(x) is the point
`(-2,0)` -----> see the given graph

so

the rule of the translation of f(x) to h(x) is

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

That means------> The translation is
`2` units to the left

therefore

The equation of h(x) is equal to

`h(x)=\sqrt[3]{x+2}`