9
advanced-math

How many x-intercepts does y=−(x−3)2−2y = -(x - 3)^2 - 2 have?

A

0

B

1

C

2

D

3

Correct Answer: A

Choice A is the correct answer.

  1. Vertex: (3,−2)(3, -2), which is below the x-axis.
  2. Direction: Opens downward (a=−1a = -1).
  3. Conclusion: Since it starts below the axis and goes down, it never crosses the x-axis.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 11: Quadratic Equations and Functions 11