ANSWER
![y = {( - x)}^(3) - 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t3m4uye3aaypa4yget5mx2niyxqqa9glfp.png)
Step-by-step explanation
The parent or base function is
![y = {x}^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/43s7sd27lumixe8o1as78h79o3if1j9yfy.png)
This function has its y-intercept at the origin.
It has been transformed vertically so that its y-intercept is now at -4.
This is a transformation of the form
![y = {x}^(3) - k](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r4p1tj8knx7tgut59vdxhk44jiehit8ici.png)
where k=4.
The function is also reflected in the x-axis.
The new function is
![y = {( - x)}^(3) - 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t3m4uye3aaypa4yget5mx2niyxqqa9glfp.png)