If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x in (-oo:+oo)
y = (1/2)*x^2-1 // - (1/2)*x^2-1
y-((1/2)*x^2)+1 = 0
(-1/2)*x^2+y+1 = 0
-1/2*x^2 = -(y+1) // : -1/2
x^2 = 2*(y+1)
x^2 = 2*(y+1) // ^ 1/2
abs(x) = 2^(1/2)*(y+1)^(1/2)
x = 2^(1/2)*(y+1)^(1/2) or x = -(2^(1/2)*(y+1)^(1/2))
x in { 2^(1/2)*(y+1)^(1/2), -(2^(1/2)*(y+1)^(1/2)) }
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