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)   (Show Source): You can put this solution on YOUR website!
vertex form is where (h,k) is the vertex
:
so we must complete the square in order to put this equation in vertex form
:
factored out 3 from x terms
:
added 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-)^2completed the square
:
we are now in vertex form: with a vertex of (6,-137)

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