Question

select the correct answer.

which set of data would be best modeled by a quadratic function?

both graphs
graph a
graph b
neither graph

Explanation:

Analyze the trend of Graph A

$$ \text{Graph A shows a generally linear, upward-sloping trend with minor fluctuations.} $$

Analyze the trend of Graph B

$$ \text{Graph B shows a U-shaped (parabolic) trend, decreasing first to a minimum around } x = 4 \text{ and then increasing.} $$

Determine the best quadratic model

$$ \text{A quadratic function is characterized by a parabolic shape (U-shape or inverted U-shape), which matches Graph B.} $$

Answer:

• both graphs
• graph A
• graph B (Correct answer)
• neither graph