SOLUTION: Write y=2x^2+12x+14 in vertex form

Question 112191: Write y=2x^2+12x+14 in vertex form
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given quadratic

Subtract from both sides

Factor out the leading coefficient . This step is important since we want the coefficient to be 1.

Take half of the x coefficient to get (ie )

Now square to get (ie )

Add this number () to the expression inside the parenthesis. Now the expression is a perfect square trinomial.

Since we added inside the parenthesis, we need to add to the other side (remember, we factored out the leading coefficient ).

Factor into . Now the right side is a perfect square (note: if you need help with factoring, check out this solver)

Multiply and to get .

Subtract 4 from both sides

Now the equation is in vertex form

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