Answer:
![y=\sqrt[3]{x+3}+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lcrjzlc52o4nhzwhwbv522dq2ql3t0szb0.png)
Explanation:
1)This function is a Geometric Transformation, (translation) of its parent function, namely:
![y=\sqrt[3]{x}](https://img.qammunity.org/2020/formulas/mathematics/high-school/hxlkpza7xaxtzufvnzbukfbrv1icx8uyvj.png)
2) When we add 3 units into the radical we shift it to the left. And the graph crosses the x-axis in the point -3, Then:
![y=\sqrt[3]{x+3}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e04314tr46x0s2qxdh7nv436ko2zca27lv.png)
3)We add 3 outside the radical, we shift up the curve:
![y=\sqrt[3]{x+3}+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lcrjzlc52o4nhzwhwbv522dq2ql3t0szb0.png)