Respuesta :
Answer:
[tex]y=\sqrt[3]{x+3}+3[/tex]
Step-by-step explanation:
1)This function is a Geometric Transformation, (translation) of its parent function, namely:
[tex]y=\sqrt[3]{x}[/tex]
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:
[tex]y=\sqrt[3]{x+3}[/tex]
3)We add 3 outside the radical, we shift up the curve:
[tex]y=\sqrt[3]{x+3}+3[/tex]