Check my first two question, what am i missing? and question three: consider the measure of centrality c(x) that sums the degrees of the neighbors of actors x. find this measure for each actor in the graph.

Step-by-step explanation:

1. Only one "actor" (G) has the highest degree, 6. That corresponds to selection E. Whether you include other actors in your list of "most central" depends on your interpretation of that term. My interpretation is that only the node with highest degree is of interest here.

2. Node that are structurally equivalent are ones with the same set of neighbors. Nodes D and F both have E and G as neighbors, so are structurally equivalent. Selection A is appropriate.

3. The problem seems to be to list the neighbors and add their degrees for any given actor. The attachment does that. The measure C(x) is listed in the rightmost column for each actor x listed in the leftmost column.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1