Whats the domain and range of the relation

domain: -3.8<x>3.8

range: -0.5<y>3

Step-by-step explanation:

domain is x which can be any number in between the lowest and highest x value and range is y which can be any number in between the lowest and highest y value.

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.