SOLUTION: How to convert an equation in standard form to factored form ? This equation in standard form is y=-2x^2+12x-4 in vertex form, it's y= -2(x-3)^2+14 So how to write it in facto

Question 815213: How to convert an equation in standard form to factored form ?
This equation in standard form is y=-2x^2+12x-4
in vertex form, it's y= -2(x-3)^2+14
So how to write it in factored form /?
Thanks for any help.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The actual naming is reversed.
Standard Form is and General Form is .

You complete the square on general form to convert to standard form. Factor the -2 from the right side expression first:

The term to add and subtract inside the trinomial factor is .

Now multiply using distributive property:
now in standard form from which you can directly read the vertex point, (3,-14).

FACTORING THE EQUATION FROM THE ORIGINALLY GIVEN GENERAL FORM?:
, as given.
, the trinomial factor IS NOT FACTORABLE any further!
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