The function f(x) is shown on the graph.

The graph shows a downward opening parabola with a vertex at 2 comma 16, a point at negative 2 comma 0, a point at 6 comma 0, a point at 0 comma 12, and a point at 4 comma 12.

What is the standard form of the equation of f(x)?

f(x) = x2 + 4x + 12
f(x) = x2 − 4x − 12
f(x) = −x2 + 4x + 12
f(x) = −x2 − 4x − 12