anonymous
  • anonymous
The functions f(x) = -(x + 4)2 + 2 and g(x) = (x − 2)2−2 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function. (10 points)
Mathematics
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anonymous
  • anonymous
The functions f(x) = -(x + 4)2 + 2 and g(x) = (x − 2)2−2 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function. (10 points)
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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FireKat97
  • FireKat97
firstly, you can let each of the functions equal to zero, to find the x co-ordinates of the vertices. Then, you can test a point on either side of the x co-ordiante to test if the function is increasing on either side (making a minimum) or decreasing on either side (making a maximum).

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