Answer:
The equation is;
y = 2x^2 -8x + 12
Explanation:
The vertex form can be written as;
a(x-h)^2 + k
(h,k) represents the coordinates of the vertex
In this case, we have this as (2,4)
The value of a is positive as the parabola opens up and it is the axis of symmetry
It is the x value that divides the graph into 2
Thus, we have x as = 2
so the equation of the graph will be;
2(x-2)^2 + 4
2(x^2 - 4x + 4) + 4
= 2x^2 -8x + 8 + 4
= 2x^2 -8x + 12