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  • 19-05-2021
  • Mathematics
contestada

Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9​

Respuesta :

21730676
21730676 21730676
  • 19-05-2021

Answer:

vertex  = ( 4  ,  25 )

Step-by-step explanation:

given a parabola in  standard form  y =  a x 2 + b x + c x ; a ≠ 0

then the x-coordinate of the vertex is

X vertex=-b/2a

y=-x2+8x+9 with a=-1 b=8 c=9

X vertex= -8/-2=4

substitute the value on the equation

Y vertex = -(4)squared+8(4)+9=25

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