Question

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

Column #1 : the x-coordinate of the vertex of the equation y= 3x^2 - 6x + 1

Column #2 : the x-coordinate of the vertex of the equation y= -x^2 + 4x - 6

A.) the value in column # 1 is equivalent to the value found in column # 2

B.) the value found in column #1 is greater than the value found in column #2

C.) the value found in column #1 is less than the value found in column #2

D,) the relationship between column #1 and column #2 cannot be determined by the information given

Answer 1

C.) the value found in column #1 is less than the value found in column #2

Explanation:

Column #1 : the x-coordinate of the vertex of the equation y= 3x^2 - 6x + 1

h = -(-6)/2(3) = 6/6 = 1

Column #2 : the x-coordinate of the vertex of the equation y= -x^2 + 4x - 6

h = -4/2(-1) = -4/-2 = 2

2 > 1