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Set 16: Quadratic Equations (Intermediate)

Explanation

Answer: A

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

A.

x=2x = -2

✓ Correct
B.

x=2x = 2

C.

x=4x = -4

D.

x=6x = -6

Detailed Explanation

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

Key Steps:

The correct answer is x=2x = -2

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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