Concept:If a point lies on a graph, its coordinates must satisfy the equation of the graph.Explanation:The given point is (2,0), so substitute x=2 and y=0 into y=x2+2x+k.Then 0=(2)2+2(2)+k.This simplifies to 0=4+4+k.So 0=8+k.Subtracting 8 from both sides gives k=−8.Answer:k=−8, which is option D.