Respuesta :
Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get
[tex]y=a(x-h)^2+v[/tex]
The required equation of the parabola is [tex]y=a(x-h)^2+v[/tex].
Therefore, the correct option is A.