suttonjordyn suttonjordyn
  • 01-03-2021
  • Mathematics
contestada

Which of the following is the maximum value of the function y = -x2 + 2x + 1?

Respuesta :

jackiezhang2007
jackiezhang2007 jackiezhang2007
  • 01-03-2021

We first complete the square.

y=-x^2+2x+1

y=-x^2+2x-1+1+1

y=-(x-1)^2+2

The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.

The maximum point is (1,2) but the maximum value means the y value which is simply just 2.

Done!

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