Question

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

Answers

  1. The equation shows that value found in column #1 is less than the value found in column #2.

    How to illustrate the information?

    y = 2x² – 4x + 12
    = -2(2x² + 2x) + 12
    = -2(x² + 2x + 1) + 12
    = -2(x + 1)² + 14
    y = x² – 4x + 3
    = (x² – 4x) + 4
    = (x² – 4x + 4) + 3 – 4.
    = (x – 2)² – 1
    The vertex is (-1, 14) and (2, -1) for 1 and 2 respectively.
    Therefore, the equation shows that value found in column #1 is less than the value found in column #2.
    Learn more about equations on:
    brainly.com/question/2948344
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