The coordinates of the vertices of △ABC are respectively (-4, -2), (6, 2) and (4, 6). The centroid G of △ABC is :

By formula,

Centroid of triangle = $\Big(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\Big)$

Centroid of triangle ABC (G)

$$\begin{aligned}= \Big(\frac{-4 + 6 + 4}{3}, \frac{-2 + 2 + 6}{3}\Big) \\[1em] = \Big(\frac{6}{3}, \frac{6}{3}\Big) \\[1em] = (2, 2).\end{aligned}$$

Hence, Option 1 is the correct option.