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12. determine if a quadratic would be an appropriate model for the data…

Question

  1. determine if a quadratic would be an appropriate model for the data shown in each scatter plot. select two that apply. (lesson 14.2) (1 point) graphs yes no

Explanation:

Step1: Recall quadratic function shape

A quadratic function has a parabolic graph.

Step2: Analyze scatter - plot pattern

Check if data points form a parabola. If yes, quadratic model is suitable; if no (e.g., linear or other non - parabolic), it's not.

Answer:

Without seeing the actual scatter - plots clearly, it's impossible to give a definite answer. But in general, a quadratic model $y = ax^{2}+bx + c$ is appropriate when the scatter - plot shows a parabolic shape (either opening up or down). If the data points seem to follow a U - shaped or an inverted U - shaped pattern, then a quadratic model may be appropriate. If the points seem to follow a straight - line pattern or a more complex non - parabolic pattern, then a quadratic model may not be appropriate.