Answer:
The axis of symmetry is [tex]x=0[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2} +k[/tex]
where
(h,k) is the vertex of the parabola
and the axis of symmetry is the x-coordinate of the vertex
[tex]x=h[/tex]
In this problem we have
[tex]x^{2} =-4y[/tex]
The vertex is the origin
therefore
the axis of symmetry is
[tex]x=0[/tex]
