Set 7: Quadratic Equations

Explanation

Answer: A

A quadratic function increases for $x < 2$ and decreases for $x > 2$ . What can you conclude?

It opens downward with vertex at $x=2$

✓ Correct

It opens upward with vertex at $x=2$

It opens downward with vertex at $x=-2$

It opens upward with vertex at $x=-2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Behavior: Increasing then decreasing creates a "hill" shape. 2. Direction: This means the parabola opens downward. 3. Turning Point: The switch happens at $x=2$ , 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.

Key Steps:

•

The correct answer is It opens downward with vertex at $x=2$

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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