Which equation best represents the graph above? explain. 1) y=(x+1)^2-4 2) y=(x-1)^2-4 3) y=(x+1)^2 4) y=(x-1)^2

Answer A:  y=(x+1)^2-4 is the best choice.

Step-by-step explanation:

Answer A:  y=(x+1)^2-4 is the best choice.  Here the vertex is at (-1, -4), just as shown in the diagram.

Option A.

Step-by-step explanation:

Vertex form of a parabola passing through vertex (h, k) is represented by

y = (x - h)²+ k

where (h, k) is the vertex.

From the given graph vertex of the given parabola is (-1, -4)

Now we will replace these coordinates in the equation given above.

y = (x + 1)² - 4

Therefore, the given equation matches with option A.