SOLUTION: Find the vertex and type in an ordered pair. Problem: f(x) = 3x^2 - 12x + 21 Thanks for your help!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the vertex and type in an ordered pair. Problem: f(x) = 3x^2 - 12x + 21 Thanks for your help!!      Log On


   

Question 320758: Find the vertex and type in an ordered pair.
Problem:
f(x) = 3x^2 - 12x + 21
Thanks for your help!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to get into vertex form, y=a%28x-h%29%5E2%2Bk where the (h,k) is the vertex.
f%28x%29=3x%5E2-12x%2B21
f%28x%29=3%28x%5E2-4x%29%2B21
f%28x%29=3%28x%5E2-4x%2B4%29%2B21-12
f%28x%29=3%28x-2%29%5E2%2B9
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(2,9)