91.7k views
3 votes
What is f(x)=3x^2-18x+23 into vertex form

User Ricky Sahu
by
8.6k points

1 Answer

1 vote

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).
User Oleg Trakhman
by
7.8k points