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je1906 je1906
  • 18-01-2017
  • Mathematics
Answered

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

Verified Answer :

LammettHash
LammettHash LammettHash
  • 18-01-2017

\(3x^2-18x+23=3(x^2-6x)+23=3(x^2-6x+9-9)+23\)
\(\quad=3((x-3)^2-9)+23=3(x-3)^2-27+23=3(x-3)^2-4\)

The vertex is then \((3,-4)\).

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