Question 315591
y = 2x^2 - 4x + 6 

We need the point (x,y), which is our vertex.

To find x, use x = -b/2a, where b = -4 and a = 2 from your function.

x = -(-4)/2(2)

x = 4/4

x = 1

To find y, we plug x = 1 into your function and solve for y.

y = 2(1)^2 - 4(1) + 6

y = 2 - 4 + 6

y = -2 + 6

y = 4

The vertex is the point (1,4).

Done!