Answer:
D: 2x^2 + 8x + 8
Explanation:
You can use a graphing calc, a table of values (or called a x-y chart), or algebraically. I will being using algebra to solve this.
If you tried to factor out your answers first, it would be simple to see that B and D would be easiest to choose between because of factoring. Rule out A and C.
If you're a quick factor-er, you can tell that D would be able to factor into y = 2(x+2)^2. This would match the graph as the root(s) for this factored equation would be x=-2, which is the vertex of the graph shown.