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advanced-mathA quadratic function increases for and decreases for . What can you conclude?
A
It opens downward with vertex at
B
It opens upward with vertex at
C
It opens downward with vertex at
D
It opens upward with vertex at
Correct Answer: A
Choice A is the correct answer.
- Behavior: Increasing then decreasing creates a "hill" shape.
- Direction: This means the parabola opens downward.
- Turning Point: The switch happens at , so the vertex x-coordinate is 2.
Choice B is incorrect because upward would decrease then increase. Choice C is incorrect because the turning point is at 2. Choice D is incorrect because of both errors.