SOLUTION: Using the method of completing the square, write −1/3x^2 + 2x + 2 in the form a(x − h)^2 + k.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Using the method of completing the square, write −1/3x^2 + 2x + 2 in the form a(x − h)^2 + k.      Log On


   

Question 1140753: Using the method of completing the square, write
−1/3x^2 + 2x + 2
in the form a(x − h)^2 + k.
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
-%281%2F3%29%28x%5E2-6x-6%29
term to complete the square is %286%2F2%29%5E2=9;
-%281%2F3%29%28x%5E2-6x%2B9-6-9%29
-%281%2F3%29%28%28x-3%29%5E2-3%29
then do the multiplication according to Distributive Property:
highlight%28-%281%2F3%29%28x-3%29%5E2%2B1%29