I have two surfaces: \(z = \sqrt{2}(x^2+y^2) (1)\) and \( x^2 + y^2 + z^2 = 1 (2)\)

now I know that (1) is the shape of a paraboloid and (2) is a sphere but how do the two look together?

I put \(x =0\) and get \(z = \sqrt{2}\) and \(z = \frac{-1}{\sqrt{2}}\) but for \(y=0\) I get an imaginary value for the x value (and also 4 solutions which is strange)