Please solve for y, with steps. Thank you

Answer:
We have been given an equation
(1) [tex]x^2+(y-\sqrt[3]{x^2})^2=1[/tex]
On simplification by shifting [tex]x^2[/tex] on right hand side of the given equation.
[tex](y-\sqrt[3]{x^2})^2=1-x^2[/tex]
Further simplification removing root from left will lead to whole square on right hand side of the equation.
[tex]y=\sqrt{1-x^2}+\sqrt{3}{x^2}[/tex]
(2)Table:
x y
-0.775 1.344
0 1
0.775 1.344
(3) Graph is attached in the attachment.