3

Set 15: Quadratic Equations (Advanced)

Explanation

Answer: A

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

A.

0

✓ Correct
B.

1

C.

2

D.

3

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is 0

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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