Determine which of the following statements is true concerning the values described in column #1 and column #2.

column #1

column #2

the x-coordinate of the vertex of the equation
y = 2x2 − 4x + 12 the x-coordinate of the vertex of the equation
y = 4x2 + 8x + 3

Below are the choices:

The value found in column #1 is greater than the value found in column #2. 
The value found in column #1 is less than the value found in column #2. 
The value found in column #1 is equivalent to the value found in column #2. 
The relationship between column #1 and column #2 cannot be determined by the information given. 

 y = -2x^2 - 4x + 12 = -2(x^2 + 2x) + 12 = -2(x^2 + 2x + 1) + 12 + 2 = -2(x + 1)^2 + 14 

y = x^2 - 4x + 3 = (x^2 - 4x) + 3 = (x^2 - 4x + 4) + 3 - 4 = (x - 2)^2 - 1 

The vertex is (-1, 14) in the first; (2, -1) in the second. 

column 1 value is less than column 2 value.