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Set 11: Quadratic Equations

Explanation

Answer: A

Which model best fits a data set that goes up, peaks, and comes down?

A.

Quadratic with a<0a < 0

✓ Correct
B.

Quadratic with a>0a > 0

C.

Linear with positive slope

D.

Exponential growth

Detailed Explanation

Choice A is correct. Choice A is the correct answer. * Quadratic (a<0a < 0): Parabola opening downward (Hill shape). Goes up, peaks, goes down. * Quadratic (a>0a > 0): Parabola opening upward (Valley shape). Goes down, bottoms out, goes up. * Linear: Always goes up or always goes down. * Exponential: Always increases or always decreases. Choice B is incorrect because it goes down then up. Choice C is incorrect because it only goes up. Choice D is incorrect because it only goes up.

Key Steps:

The correct answer is Quadratic with a<0a < 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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