Answer
Parabola
Work Step by Step
The vertex, the point where the parabola changes direction, is the origin. We see that the parabola $x = ay^{2} $opens to the right side if $a>0$ and opens to the left side if $a <0$ .
Given: $x = -2y^{2} $
Here, $a=-2$
This represents the equation of a parabola which has the standard form as follows:
$y=a(x-h)^{2} +k $
vertex, $(h,k) =(0,0)$
The graph will be a parabola that opens to the left side as depicted below:
