Determine the equation of the graph and select the correct answer below.
courtesy of texas instruments (6 points)

The standard equation of parabola:

            ....[1]

where, vertex = (h, k) and a is any constant value.

As per the statement:

In the given graph of parabola:

Vertex of parabola = (-2, -4)

⇒h = -2 and k= -4

Substitute in [1] we have;

              ....[2]

Since, the graph of parabola cuts at y-axis at (0, -8)

Substitute this point in [2] to solve for a, we have;'

⇒

Add 4 to both sides we have;

⇒

Divide both sides by 4 we have;

a = -1

then, the equation become:

Therefore, the equation of the graph is,