A parabola opening up or down has vertex (0,2) and passes through (4,1). Write its equation in vertex form.
The equation of the parabola in the vertex form is y=a(x−h)^2+k
The vertex is given as (0,-2) and from the point given, we know that x = 4, and y = 1.
Plugging these points in the equation we get, 1=a(4-0)^2+2
So the equation of the proabola in vertex form would be y=-1/4(x-0)^2+2