\(\begin{equation}\begin{split}
\sqrt{1-y^2}&=-2x^2-C \;\: \color{red}{\vert ^2}\\
1-y^2 &= (-2x^2-C)^2 \;\: \color{red}{\vert -1}\\
-y^2 &= (-2x^2-C)^2 - 1 \;\: \color{red}{\vert \cdot (-1)}\\
y^2 &= - (-2x^2-C)^2 + 1 \;\: \color{red}{\vert \sqrt{\color{white}{x}}}\\
y&= \pm \sqrt{- (-2x^2-C)^2 + 1} = \pm \sqrt{1- (-2x^2-C)^2}
\end{split}\end{equation}\)
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