Answer:
(3, -2)
Explanation:
To find the vertex, put the equation into vertex form by completing the square
2(x^2 - 6x) + 16 [pulling out the 2]
2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]
2(x - 3)^2 - 2 [simplify the equation]
vertex is (3, -2)