We have been given a graph and we are asked to find which of the given equations represent the graph.
Since we know that in vertex form of parabola y=a(x-h)^{2}+k, (h,k) is the vertex of parabola.
We can see that our given equations are in vertex form. We are told that coordinates of vertex of given parabola are (-3,2).
Now let us compare our given examples with vertex form of parabola.
Upon looking at our options we can see that only option fits is:
y=(x--3)^{2}+2
y=(x+3)^{2}+2
Therefore, 3rd option is the correct choice.
Hope this helps.
