je1906 je1906
  • 18-01-2017
  • Mathematics
contestada

what is f(x)=3x^2-18x+23 into vertex form

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LammettHash
LammettHash LammettHash
  • 18-01-2017
[tex]3x^2-18x+23=3(x^2-6x)+23=3(x^2-6x+9-9)+23[/tex]
[tex]\quad=3((x-3)^2-9)+23=3(x-3)^2-27+23=3(x-3)^2-4[/tex]

The vertex is then [tex](3,-4)[/tex].
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