Question

For the function " align="absmiddle" class="latex-formula">, what are the coordinates of the vertex?
Is it a maximum or minimum point?


Hint: consider using $x=-b/2a$. Show all work algebraically

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Answer 1

$x_0=\dfrac{-b}{2a} =\dfrac{-4}{2\times(-2)}=1\\y_0=-2\times1^2+4\times1+1=-2+4+1=3\\Answer: The\: vertex\: is \:(1;3). It's\:maximum\:point \:because \:a=-2$