Question

The graph f(x) shown below resembles the graph of g(x)=x3 but it has changed somewhat. Which of the following could be the equation of f(x)?

Answer 1

Answer: C

Explanation:

Answer 2

Option C

Explanation:

The parent function is given as

`G(x) = {x}^(3)`

From the G(x) has been shifted down 2 units and stretched vertically by a factor of 5.

The new function expressed in terms of the parent function is now of the form:

`F(x)=5G(x)-2`

We substitute for G(x) to obtain:

`F(x)=5 {x}^(3) -2`

The correct answer is option C.