The graph shows how the average retail price (in dollars per gallon) of regular unleaded gasoline in

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The graph shows how the average retail price (in dollars per gallon) of regular unleaded gasoline in the United States changed between 2009 and 2016. The graph suggests that a quadratic function would be a good fit to the data. The data are approximated by the function


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In the model, x = 0 represents 2009, x = 1 represents 2010, and so on.


(a) How could we have predicted that this quadratic model would have a negative coefficient for x2, based only on the graph shown?


(b) Algebraically determine the vertex of the graph, with coordinates rounded to the nearest hundredth. Interpret the answer as it applies to this application.


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Related Book For  answer-question

Intermediate Algebra

ISBN: 9780134895987

13th Edition

Authors: Margaret Lial, John Hornsby, Terry McGinnis

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