Set 13: Quadratic Equations (Intermediate)

Explanation

Answer: A

Standard form of $y = 2(x - 3)^2 + 1$ is:

$y = 2x^2 - 12x + 19$

✓ Correct

$y = 2x^2 - 6x + 10$

$y = 2x^2 - 12x + 17$

$y = 2x^2 - 6x + 19$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Expand: $y = 2(x^2 - 6 x + 9) + 1 = 2 x^2 - 12 x + 18 + 1 = 2 x^2 - 12 x + 19$ . Choice B is incorrect because the middle term should be $-12 x$ , not $-6 x$ . Choice C is incorrect because $18+ 1 = 19$ , not 17. Choice D is incorrect because the expansion is incorrect.

Key Steps:

•

The correct answer is $y = 2x^2 - 12x + 19$

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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