5
advanced-math

The axis of symmetry for y=3x2+12x+5y = 3x^2 + 12x + 5 is:

A

x=−2x = -2

B

x=2x = 2

C

x=−4x = -4

D

x=−6x = -6

Correct Answer: A

Choice A is the correct answer. Use the formula x=−b/2ax = -b/2a.

  1. a=3a = 3, b=12b = 12.
  2. x=−12/(2×3)x = -12 / (2 \times 3).
  3. x=−12/6=−2x = -12 / 6 = -2.

Choice B is incorrect because of a sign error. Choice C is incorrect because it divides by aa instead of 2a2a (12/3=412/3=4). Choice D is incorrect because it divides by 2 only.

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