Answer:
We have been given an equation
(1)
![x^2+(y-\sqrt[3]{x^2})^2=1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e2zaiuqzv5o5m5zhdgi0q91st8kj9vjeaq.png)
On simplification by shifting
on right hand side of the given equation.
![(y-\sqrt[3]{x^2})^2=1-x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5tq1p5jujxkp5wlvu3zz3s5du7iqfo7t8d.png)
Further simplification removing root from left will lead to whole square on right hand side of the equation.

(2)Table:
x y
-0.775 1.344
0 1
0.775 1.344
(3) Graph is attached in the attachment.