For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Hint: consider using x=-b/2a. Show all work algebraically SERIOUS ANSWERS ONLY! NO SPAM!

asked Oct 6, 2021 178k views

5 votes

For the function
y=-2x^2+4x+1

, what are the coordinates of the vertex?

Is it a maximum or minimum point?

Hint: consider using
x=-b/2a

. Show all work algebraically

SERIOUS ANSWERS ONLY! NO SPAM!

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2 votes

$x_0=(-b)/(2a) =(-4)/(2*(-2))=1\\y_0=-2*1^2+4*1+1=-2+4+1=3\\Answer: The\: vertex\: is \:(1;3). It's\:maximum\:point \:because \:a=-2<0$

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