The graph shows how Social Security trust fund assets are expected to change and suggests that a

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The graph shows how Social Security trust fund assets are expected to change and suggests that a quadratic function would be a good fit to the data. The data are approximated by the functionimage


In the model, x = 10 represents 2010, x = 15 represents 2015, and so on, and ƒ(x) is in billions of dollars.


(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. Express the x-coordinate to the nearest hundredth and the y-coordinate to the nearest whole number. Interpret the answer as it applies to this application.


image

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Intermediate Algebra

ISBN: 9780134895987

13th Edition

Authors: Margaret Lial, John Hornsby, Terry McGinnis

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