Answer:
The parabola open upward
Step-by-step explanation:
we know that
The equation in vertex form of a vertical parabola is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
If [tex]a>0[/tex] -----> the parabola open upward and the vertex is a minimum
If [tex]a<0[/tex] -----> the parabola open downward and the vertex is a maximum
In this problem we have
[tex]y=ax^{2}[/tex] and [tex]a>0[/tex]
so
Is a vertical parabola
The vertex is the origin [tex](0,0)[/tex]
The parabola open upward
The vertex is a minimum
