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The functions f(x) = –(x + 4)^2 + 2 and g(x) = (x − 2)^2 −...

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.

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Answer #1

compare with

vertex is  

here hence coefficient of x2 is negative hence vertex is maximum

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compare with

vertex is  

here hence coefficient of x2 is positive hence vertex is minimum

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