SOLUTION: write quadratic equation in vertex form: what is the vertex? y=3x^2-36x-101

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Question 174738: write quadratic equation in vertex form:
what is the vertex?
y=3x^2-36x-101
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
vertex form isy=%28x-h%29%5E2%2Bk where (h,k) is the vertex
:
so we must complete the square in order to put this equation in vertex form
:
y=3%28x%5E2-12x%29-101factored out 3 from x terms
:
y=3%28x%5E2-12x%2B36%29-101-36added 36 to set up the completion of the square and subtracted 36, outside the parenthesis, in order to retain an equivalent equation
:
y=3(x-highlight%286%29)^2highlight%28-137%29completed the square
:
we are now in vertex form: with a vertex of (6,-137)