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 graph of
y = −2x2 − 4x + 12
The x-coordinate of the vertex of the graph of
y = x2 − 4x + 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

Answer 1

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.

ANSWER: The value found in column #1 is less than the value found in column #2.

Answer 2

thx @e.cociuba

Answer 3

was this right