Set 5: Quadratic Equations (Advanced)

Explanation

Answer: A

Which statement describes $y = -2(x - 3)^2 + 4$ ?

Opens down, Vertex $(3, 4)$

✓ Correct

Opens up, Vertex $(3, 4)$

Opens down, Vertex $(-3, 4)$

Opens up, Vertex $(-3, 4)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Direction: $a = -2$ is negative, so it opens down. 2. Vertex: $x - 3$ means $h = 3$ . $k = 4$ . Vertex is $(3, 4)$ . Choice B is incorrect because it opens down. Choice C is incorrect because vertex x is 3. Choice D is incorrect because of both errors.

Key Steps:

•

The correct answer is Opens down, Vertex $(3, 4)$

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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