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.