10
advanced-math

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

A

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

B

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

C

Opens down, Vertex (−3,4)(-3, 4)

D

Opens up, Vertex (−3,4)(-3, 4)

Correct Answer: A

Choice A is the correct answer.

  1. Direction: a=−2a = -2 is negative, so it opens down.
  2. Vertex: x−3x - 3 means h=3h = 3. k=4k = 4. Vertex is (3,4)(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.

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Set 10: Quadratic Equations and Functions 10