Set 3: Quadratic Equations (Advanced)

Explanation

Answer: A

If a parabola opens downward and has a vertex at $(2, 5)$ , how many x-intercepts does it have?

✓ Correct

Cannot be determined

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Vertex: $(2, 5)$ is above the x-axis (y is positive). 2. Direction: Opens downward. 3. Conclusion: Since it starts above the axis and goes down, it must cross the x-axis twice. Choice B is incorrect because that requires vertex on x-axis. Choice C is incorrect because that requires vertex below x-axis (for downward). Choice D is incorrect because the geometry is fixed.

Key Steps:

•

The correct answer is 2

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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