If g has n vertices and is regular of degree r, how many edges has g?

We know that the sum of the degrees of the vertices of the graph is twice the number of edges of the graph.

Let be a graph with vertices

Then where is the number of edges of the graph. Since the graph is regular of degree r then all vertices have degree r. Thus,

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.