9
advanced-math

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

A

Quadratic with a<0a < 0

B

Quadratic with a>0a > 0

C

Linear with positive slope

D

Exponential growth

Correct Answer: A

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.